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Finding the Fourth Proportional to 7,229.85, 9,977.48 and 5,458.38

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Solution

The fourth proportional to 7,229.85, 9,977.48 and 5,458.38 is: 7,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.85 : 9,977.48 = 5,458.38 : x
  2. Step 2: Convert to fraction form
    7,229.85/9,977.48 = 5,458.38/x
  3. Step 3: Cross multiply
    7,229.85x = 9,977.48 × 5,458.38
  4. Step 4: Simplify right side
    7,229.85x = 54,460,877.28
  5. Step 5: Solve for x
    x = 54,460,877.28/7,229.85
  6. Step 6: Final answer
    x = 7,532.78

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Half scale
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Double scale
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Similar ratio
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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.