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Finding the Fourth Proportional to 9,140.96, 12,614.48 and 4,949.20

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Solution

The fourth proportional to 9,140.96, 12,614.48 and 4,949.20 is: 6,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.96 : 12,614.48 = 4,949.20 : x
  2. Step 2: Convert to fraction form
    9,140.96/12,614.48 = 4,949.20/x
  3. Step 3: Cross multiply
    9,140.96x = 12,614.48 × 4,949.20
  4. Step 4: Simplify right side
    9,140.96x = 62,431,584.42
  5. Step 5: Solve for x
    x = 62,431,584.42/9,140.96
  6. Step 6: Final answer
    x = 6,829.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.