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Finding the Fourth Proportional to 5,806.60, 8,710.80 and 1,909.78

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Solution

The fourth proportional to 5,806.60, 8,710.80 and 1,909.78 is: 2,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.60 : 8,710.80 = 1,909.78 : x
  2. Step 2: Convert to fraction form
    5,806.60/8,710.80 = 1,909.78/x
  3. Step 3: Cross multiply
    5,806.60x = 8,710.80 × 1,909.78
  4. Step 4: Simplify right side
    5,806.60x = 16,635,711.62
  5. Step 5: Solve for x
    x = 16,635,711.62/5,806.60
  6. Step 6: Final answer
    x = 2,864.97

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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.