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Finding the Fourth Proportional to 8,506, 12,737.24 and 7,716.88

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Solution

The fourth proportional to 8,506, 12,737.24 and 7,716.88 is: 11,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506 : 12,737.24 = 7,716.88 : x
  2. Step 2: Convert to fraction form
    8,506/12,737.24 = 7,716.88/x
  3. Step 3: Cross multiply
    8,506x = 12,737.24 × 7,716.88
  4. Step 4: Simplify right side
    8,506x = 98,291,752.61
  5. Step 5: Solve for x
    x = 98,291,752.61/8,506
  6. Step 6: Final answer
    x = 11,555.58

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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.