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Finding the Fourth Proportional to 8,700.87, 13,034.88 and 6,743.50

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Solution

The fourth proportional to 8,700.87, 13,034.88 and 6,743.50 is: 10,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,700.87 : 13,034.88 = 6,743.50 : x
  2. Step 2: Convert to fraction form
    8,700.87/13,034.88 = 6,743.50/x
  3. Step 3: Cross multiply
    8,700.87x = 13,034.88 × 6,743.50
  4. Step 4: Simplify right side
    8,700.87x = 87,900,713.28
  5. Step 5: Solve for x
    x = 87,900,713.28/8,700.87
  6. Step 6: Final answer
    x = 10,102.52

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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.