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Finding the Fourth Proportional to 7,842.54, 11,753.42 and 5,752.76

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Solution

The fourth proportional to 7,842.54, 11,753.42 and 5,752.76 is: 8,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.54 : 11,753.42 = 5,752.76 : x
  2. Step 2: Convert to fraction form
    7,842.54/11,753.42 = 5,752.76/x
  3. Step 3: Cross multiply
    7,842.54x = 11,753.42 × 5,752.76
  4. Step 4: Simplify right side
    7,842.54x = 67,614,545.67
  5. Step 5: Solve for x
    x = 67,614,545.67/7,842.54
  6. Step 6: Final answer
    x = 8,621.52

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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.