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Finding the Fourth Proportional to 6,502.72, 8,972.40 and 3,707.68

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Solution

The fourth proportional to 6,502.72, 8,972.40 and 3,707.68 is: 5,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.72 : 8,972.40 = 3,707.68 : x
  2. Step 2: Convert to fraction form
    6,502.72/8,972.40 = 3,707.68/x
  3. Step 3: Cross multiply
    6,502.72x = 8,972.40 × 3,707.68
  4. Step 4: Simplify right side
    6,502.72x = 33,266,788.03
  5. Step 5: Solve for x
    x = 33,266,788.03/6,502.72
  6. Step 6: Final answer
    x = 5,115.83

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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.