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Finding the Fourth Proportional to 10,094.68, 15,122.94 and 5,715.28

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Solution

The fourth proportional to 10,094.68, 15,122.94 and 5,715.28 is: 8,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.68 : 15,122.94 = 5,715.28 : x
  2. Step 2: Convert to fraction form
    10,094.68/15,122.94 = 5,715.28/x
  3. Step 3: Cross multiply
    10,094.68x = 15,122.94 × 5,715.28
  4. Step 4: Simplify right side
    10,094.68x = 86,431,836.52
  5. Step 5: Solve for x
    x = 86,431,836.52/10,094.68
  6. Step 6: Final answer
    x = 8,562.12

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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.