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Finding the Fourth Proportional to 7,289.92, 10,066.44 and 5,715.28

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Solution

The fourth proportional to 7,289.92, 10,066.44 and 5,715.28 is: 7,892.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.92 : 10,066.44 = 5,715.28 : x
  2. Step 2: Convert to fraction form
    7,289.92/10,066.44 = 5,715.28/x
  3. Step 3: Cross multiply
    7,289.92x = 10,066.44 × 5,715.28
  4. Step 4: Simplify right side
    7,289.92x = 57,532,523.20
  5. Step 5: Solve for x
    x = 57,532,523.20/7,289.92
  6. Step 6: Final answer
    x = 7,892.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.