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Finding the Fourth Proportional to 10,397.84, 15,571.44 and 5,471.60

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Solution

The fourth proportional to 10,397.84, 15,571.44 and 5,471.60 is: 8,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.84 : 15,571.44 = 5,471.60 : x
  2. Step 2: Convert to fraction form
    10,397.84/15,571.44 = 5,471.60/x
  3. Step 3: Cross multiply
    10,397.84x = 15,571.44 × 5,471.60
  4. Step 4: Simplify right side
    10,397.84x = 85,200,691.10
  5. Step 5: Solve for x
    x = 85,200,691.10/10,397.84
  6. Step 6: Final answer
    x = 8,194.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.