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Finding the Fourth Proportional to 6,478.20, 8,934.60 and 4,116.24

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Solution

The fourth proportional to 6,478.20, 8,934.60 and 4,116.24 is: 5,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.20 : 8,934.60 = 4,116.24 : x
  2. Step 2: Convert to fraction form
    6,478.20/8,934.60 = 4,116.24/x
  3. Step 3: Cross multiply
    6,478.20x = 8,934.60 × 4,116.24
  4. Step 4: Simplify right side
    6,478.20x = 36,776,957.90
  5. Step 5: Solve for x
    x = 36,776,957.90/6,478.20
  6. Step 6: Final answer
    x = 5,677.03

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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.