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Finding the Fourth Proportional to 13,988, 20,987.40 and 6,592.16

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Solution

The fourth proportional to 13,988, 20,987.40 and 6,592.16 is: 9,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988 : 20,987.40 = 6,592.16 : x
  2. Step 2: Convert to fraction form
    13,988/20,987.40 = 6,592.16/x
  3. Step 3: Cross multiply
    13,988x = 20,987.40 × 6,592.16
  4. Step 4: Simplify right side
    13,988x = 138,352,298.78
  5. Step 5: Solve for x
    x = 138,352,298.78/13,988
  6. Step 6: Final answer
    x = 9,890.78

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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.