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Finding the Fourth Proportional to 9,775.68, 13,491.84 and 7,413.84

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Solution

The fourth proportional to 9,775.68, 13,491.84 and 7,413.84 is: 10,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.68 : 13,491.84 = 7,413.84 : x
  2. Step 2: Convert to fraction form
    9,775.68/13,491.84 = 7,413.84/x
  3. Step 3: Cross multiply
    9,775.68x = 13,491.84 × 7,413.84
  4. Step 4: Simplify right side
    9,775.68x = 100,026,343.07
  5. Step 5: Solve for x
    x = 100,026,343.07/9,775.68
  6. Step 6: Final answer
    x = 10,232.16

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Double scale
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Similar ratio
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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.