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Finding the Fourth Proportional to 6,500.92, 9,748.50 and 6,232.12

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Solution

The fourth proportional to 6,500.92, 9,748.50 and 6,232.12 is: 9,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.92 : 9,748.50 = 6,232.12 : x
  2. Step 2: Convert to fraction form
    6,500.92/9,748.50 = 6,232.12/x
  3. Step 3: Cross multiply
    6,500.92x = 9,748.50 × 6,232.12
  4. Step 4: Simplify right side
    6,500.92x = 60,753,821.82
  5. Step 5: Solve for x
    x = 60,753,821.82/6,500.92
  6. Step 6: Final answer
    x = 9,345.42

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1.5x scale

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.