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Finding the Fourth Proportional to 9,731.61, 13,436.08 and 7,489.53

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Solution

The fourth proportional to 9,731.61, 13,436.08 and 7,489.53 is: 10,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.61 : 13,436.08 = 7,489.53 : x
  2. Step 2: Convert to fraction form
    9,731.61/13,436.08 = 7,489.53/x
  3. Step 3: Cross multiply
    9,731.61x = 13,436.08 × 7,489.53
  4. Step 4: Simplify right side
    9,731.61x = 100,629,905.52
  5. Step 5: Solve for x
    x = 100,629,905.52/9,731.61
  6. Step 6: Final answer
    x = 10,340.52

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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.