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Finding the Fourth Proportional to 6,616.17, 9,969.78 and 5,471.90

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Solution

The fourth proportional to 6,616.17, 9,969.78 and 5,471.90 is: 8,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.17 : 9,969.78 = 5,471.90 : x
  2. Step 2: Convert to fraction form
    6,616.17/9,969.78 = 5,471.90/x
  3. Step 3: Cross multiply
    6,616.17x = 9,969.78 × 5,471.90
  4. Step 4: Simplify right side
    6,616.17x = 54,553,639.18
  5. Step 5: Solve for x
    x = 54,553,639.18/6,616.17
  6. Step 6: Final answer
    x = 8,245.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.