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Finding the Fourth Proportional to 11,640, 17,463.20 and 3,432

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Solution

The fourth proportional to 11,640, 17,463.20 and 3,432 is: 5,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640 : 17,463.20 = 3,432 : x
  2. Step 2: Convert to fraction form
    11,640/17,463.20 = 3,432/x
  3. Step 3: Cross multiply
    11,640x = 17,463.20 × 3,432
  4. Step 4: Simplify right side
    11,640x = 59,933,702.40
  5. Step 5: Solve for x
    x = 59,933,702.40/11,640
  6. Step 6: Final answer
    x = 5,148.94

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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.