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Finding the Fourth Proportional to 7,150.87, 10,714.59 and 6,877.50

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Solution

The fourth proportional to 7,150.87, 10,714.59 and 6,877.50 is: 10,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.87 : 10,714.59 = 6,877.50 : x
  2. Step 2: Convert to fraction form
    7,150.87/10,714.59 = 6,877.50/x
  3. Step 3: Cross multiply
    7,150.87x = 10,714.59 × 6,877.50
  4. Step 4: Simplify right side
    7,150.87x = 73,689,592.73
  5. Step 5: Solve for x
    x = 73,689,592.73/7,150.87
  6. Step 6: Final answer
    x = 10,304.98

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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.