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Finding the Fourth Proportional to 7,149.40, 9,863.22 and 4,354.60

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Solution

The fourth proportional to 7,149.40, 9,863.22 and 4,354.60 is: 6,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.40 : 9,863.22 = 4,354.60 : x
  2. Step 2: Convert to fraction form
    7,149.40/9,863.22 = 4,354.60/x
  3. Step 3: Cross multiply
    7,149.40x = 9,863.22 × 4,354.60
  4. Step 4: Simplify right side
    7,149.40x = 42,950,377.81
  5. Step 5: Solve for x
    x = 42,950,377.81/7,149.40
  6. Step 6: Final answer
    x = 6,007.55

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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.