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Finding the Fourth Proportional to 5,681.63, 8,522.45 and 1,982.87

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Solution

The fourth proportional to 5,681.63, 8,522.45 and 1,982.87 is: 2,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.63 : 8,522.45 = 1,982.87 : x
  2. Step 2: Convert to fraction form
    5,681.63/8,522.45 = 1,982.87/x
  3. Step 3: Cross multiply
    5,681.63x = 8,522.45 × 1,982.87
  4. Step 4: Simplify right side
    5,681.63x = 16,898,857.90
  5. Step 5: Solve for x
    x = 16,898,857.90/5,681.63
  6. Step 6: Final answer
    x = 2,974.30

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Similar ratio
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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.