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Finding the Fourth Proportional to 7,431.64, 10,255.72 and 5,073.72

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Solution

The fourth proportional to 7,431.64, 10,255.72 and 5,073.72 is: 7,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.64 : 10,255.72 = 5,073.72 : x
  2. Step 2: Convert to fraction form
    7,431.64/10,255.72 = 5,073.72/x
  3. Step 3: Cross multiply
    7,431.64x = 10,255.72 × 5,073.72
  4. Step 4: Simplify right side
    7,431.64x = 52,034,651.68
  5. Step 5: Solve for x
    x = 52,034,651.68/7,431.64
  6. Step 6: Final answer
    x = 7,001.77

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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.