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Finding the Fourth Proportional to 8,923.68, 13,375.68 and 5,638.24

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Solution

The fourth proportional to 8,923.68, 13,375.68 and 5,638.24 is: 8,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.68 : 13,375.68 = 5,638.24 : x
  2. Step 2: Convert to fraction form
    8,923.68/13,375.68 = 5,638.24/x
  3. Step 3: Cross multiply
    8,923.68x = 13,375.68 × 5,638.24
  4. Step 4: Simplify right side
    8,923.68x = 75,415,294.00
  5. Step 5: Solve for x
    x = 75,415,294.00/8,923.68
  6. Step 6: Final answer
    x = 8,451.14

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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.