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Finding the Fourth Proportional to 5,663.97, 8,491.98 and 2,154.18

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Solution

The fourth proportional to 5,663.97, 8,491.98 and 2,154.18 is: 3,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.97 : 8,491.98 = 2,154.18 : x
  2. Step 2: Convert to fraction form
    5,663.97/8,491.98 = 2,154.18/x
  3. Step 3: Cross multiply
    5,663.97x = 8,491.98 × 2,154.18
  4. Step 4: Simplify right side
    5,663.97x = 18,293,211.02
  5. Step 5: Solve for x
    x = 18,293,211.02/5,663.97
  6. Step 6: Final answer
    x = 3,229.75

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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.