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Finding the Fourth Proportional to 11,440, 17,065.52 and 9,695.92

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Solution

The fourth proportional to 11,440, 17,065.52 and 9,695.92 is: 14,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440 : 17,065.52 = 9,695.92 : x
  2. Step 2: Convert to fraction form
    11,440/17,065.52 = 9,695.92/x
  3. Step 3: Cross multiply
    11,440x = 17,065.52 × 9,695.92
  4. Step 4: Simplify right side
    11,440x = 165,465,916.68
  5. Step 5: Solve for x
    x = 165,465,916.68/11,440
  6. Step 6: Final answer
    x = 14,463.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.