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Finding the Fourth Proportional to 15,687.90, 23,542.74 and 6,918.03

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Solution

The fourth proportional to 15,687.90, 23,542.74 and 6,918.03 is: 10,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.90 : 23,542.74 = 6,918.03 : x
  2. Step 2: Convert to fraction form
    15,687.90/23,542.74 = 6,918.03/x
  3. Step 3: Cross multiply
    15,687.90x = 23,542.74 × 6,918.03
  4. Step 4: Simplify right side
    15,687.90x = 162,869,381.60
  5. Step 5: Solve for x
    x = 162,869,381.60/15,687.90
  6. Step 6: Final answer
    x = 10,381.85

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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.