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Finding the Fourth Proportional to 7,138.74, 9,854.55 and 5,370.78

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Solution

The fourth proportional to 7,138.74, 9,854.55 and 5,370.78 is: 7,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.74 : 9,854.55 = 5,370.78 : x
  2. Step 2: Convert to fraction form
    7,138.74/9,854.55 = 5,370.78/x
  3. Step 3: Cross multiply
    7,138.74x = 9,854.55 × 5,370.78
  4. Step 4: Simplify right side
    7,138.74x = 52,926,620.05
  5. Step 5: Solve for x
    x = 52,926,620.05/7,138.74
  6. Step 6: Final answer
    x = 7,414.00

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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.