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Finding the Fourth Proportional to 6,614.10, 9,909.15 and 3,143.70

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Solution

The fourth proportional to 6,614.10, 9,909.15 and 3,143.70 is: 4,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.10 : 9,909.15 = 3,143.70 : x
  2. Step 2: Convert to fraction form
    6,614.10/9,909.15 = 3,143.70/x
  3. Step 3: Cross multiply
    6,614.10x = 9,909.15 × 3,143.70
  4. Step 4: Simplify right side
    6,614.10x = 31,151,394.86
  5. Step 5: Solve for x
    x = 31,151,394.86/6,614.10
  6. Step 6: Final answer
    x = 4,709.85

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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.