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Finding the Fourth Proportional to 7,229.25, 9,977.58 and 5,457.78

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Solution

The fourth proportional to 7,229.25, 9,977.58 and 5,457.78 is: 7,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.25 : 9,977.58 = 5,457.78 : x
  2. Step 2: Convert to fraction form
    7,229.25/9,977.58 = 5,457.78/x
  3. Step 3: Cross multiply
    7,229.25x = 9,977.58 × 5,457.78
  4. Step 4: Simplify right side
    7,229.25x = 54,455,436.57
  5. Step 5: Solve for x
    x = 54,455,436.57/7,229.25
  6. Step 6: Final answer
    x = 7,532.65

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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.