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Finding the Fourth Proportional to 12,486.67, 17,231.73 and 6,821.60

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Solution

The fourth proportional to 12,486.67, 17,231.73 and 6,821.60 is: 9,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.67 : 17,231.73 = 6,821.60 : x
  2. Step 2: Convert to fraction form
    12,486.67/17,231.73 = 6,821.60/x
  3. Step 3: Cross multiply
    12,486.67x = 17,231.73 × 6,821.60
  4. Step 4: Simplify right side
    12,486.67x = 117,547,883.21
  5. Step 5: Solve for x
    x = 117,547,883.21/12,486.67
  6. Step 6: Final answer
    x = 9,413.87

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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.