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Finding the Fourth Proportional to 6,655.80, 9,990.62 and 4,902.78

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Solution

The fourth proportional to 6,655.80, 9,990.62 and 4,902.78 is: 7,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.80 : 9,990.62 = 4,902.78 : x
  2. Step 2: Convert to fraction form
    6,655.80/9,990.62 = 4,902.78/x
  3. Step 3: Cross multiply
    6,655.80x = 9,990.62 × 4,902.78
  4. Step 4: Simplify right side
    6,655.80x = 48,981,811.92
  5. Step 5: Solve for x
    x = 48,981,811.92/6,655.80
  6. Step 6: Final answer
    x = 7,359.27

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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.