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Finding the Fourth Proportional to 9,502.11, 14,248.32 and 3,174.71

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Solution

The fourth proportional to 9,502.11, 14,248.32 and 3,174.71 is: 4,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.11 : 14,248.32 = 3,174.71 : x
  2. Step 2: Convert to fraction form
    9,502.11/14,248.32 = 3,174.71/x
  3. Step 3: Cross multiply
    9,502.11x = 14,248.32 × 3,174.71
  4. Step 4: Simplify right side
    9,502.11x = 45,234,212.75
  5. Step 5: Solve for x
    x = 45,234,212.75/9,502.11
  6. Step 6: Final answer
    x = 4,760.44

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Why These Related Problems?

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