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Finding the Fourth Proportional to 8,154.86, 12,230.80 and 3,711.47

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Solution

The fourth proportional to 8,154.86, 12,230.80 and 3,711.47 is: 5,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.86 : 12,230.80 = 3,711.47 : x
  2. Step 2: Convert to fraction form
    8,154.86/12,230.80 = 3,711.47/x
  3. Step 3: Cross multiply
    8,154.86x = 12,230.80 × 3,711.47
  4. Step 4: Simplify right side
    8,154.86x = 45,394,176.84
  5. Step 5: Solve for x
    x = 45,394,176.84/8,154.86
  6. Step 6: Final answer
    x = 5,566.52

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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.