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Finding the Fourth Proportional to 7,177.01, 10,764.29 and 1,982.90

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Solution

The fourth proportional to 7,177.01, 10,764.29 and 1,982.90 is: 2,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.01 : 10,764.29 = 1,982.90 : x
  2. Step 2: Convert to fraction form
    7,177.01/10,764.29 = 1,982.90/x
  3. Step 3: Cross multiply
    7,177.01x = 10,764.29 × 1,982.90
  4. Step 4: Simplify right side
    7,177.01x = 21,344,461.78
  5. Step 5: Solve for x
    x = 21,344,461.78/7,177.01
  6. Step 6: Final answer
    x = 2,974.01

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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.