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Finding the Fourth Proportional to 8,624, 12,913.76 and 5,987.68

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Solution

The fourth proportional to 8,624, 12,913.76 and 5,987.68 is: 8,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624 : 12,913.76 = 5,987.68 : x
  2. Step 2: Convert to fraction form
    8,624/12,913.76 = 5,987.68/x
  3. Step 3: Cross multiply
    8,624x = 12,913.76 × 5,987.68
  4. Step 4: Simplify right side
    8,624x = 77,323,462.48
  5. Step 5: Solve for x
    x = 77,323,462.48/8,624
  6. Step 6: Final answer
    x = 8,966.08

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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.