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Finding the Fourth Proportional to 12,486.71, 17,231.57 and 6,821.46

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Solution

The fourth proportional to 12,486.71, 17,231.57 and 6,821.46 is: 9,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.71 : 17,231.57 = 6,821.46 : x
  2. Step 2: Convert to fraction form
    12,486.71/17,231.57 = 6,821.46/x
  3. Step 3: Cross multiply
    12,486.71x = 17,231.57 × 6,821.46
  4. Step 4: Simplify right side
    12,486.71x = 117,544,431.38
  5. Step 5: Solve for x
    x = 117,544,431.38/12,486.71
  6. Step 6: Final answer
    x = 9,413.57

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Half scale
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Double scale
Find fourth proportional to 12,487.71, 17,232.94 and 6,822.46
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.