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Finding the Fourth Proportional to 13,724.16, 20,537.02 and 11,881.61

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Solution

The fourth proportional to 13,724.16, 20,537.02 and 11,881.61 is: 17,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.16 : 20,537.02 = 11,881.61 : x
  2. Step 2: Convert to fraction form
    13,724.16/20,537.02 = 11,881.61/x
  3. Step 3: Cross multiply
    13,724.16x = 20,537.02 × 11,881.61
  4. Step 4: Simplify right side
    13,724.16x = 244,012,862.20
  5. Step 5: Solve for x
    x = 244,012,862.20/13,724.16
  6. Step 6: Final answer
    x = 17,779.80

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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.