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Finding the Fourth Proportional to 6,957.20, 10,414.20 and 5,488.40

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Solution

The fourth proportional to 6,957.20, 10,414.20 and 5,488.40 is: 8,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.20 : 10,414.20 = 5,488.40 : x
  2. Step 2: Convert to fraction form
    6,957.20/10,414.20 = 5,488.40/x
  3. Step 3: Cross multiply
    6,957.20x = 10,414.20 × 5,488.40
  4. Step 4: Simplify right side
    6,957.20x = 57,157,295.28
  5. Step 5: Solve for x
    x = 57,157,295.28/6,957.20
  6. Step 6: Final answer
    x = 8,215.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.