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Finding the Fourth Proportional to 3,614.80, 5,422.20 and 1,017.76

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Solution

The fourth proportional to 3,614.80, 5,422.20 and 1,017.76 is: 1,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.80 : 5,422.20 = 1,017.76 : x
  2. Step 2: Convert to fraction form
    3,614.80/5,422.20 = 1,017.76/x
  3. Step 3: Cross multiply
    3,614.80x = 5,422.20 × 1,017.76
  4. Step 4: Simplify right side
    3,614.80x = 5,518,498.27
  5. Step 5: Solve for x
    x = 5,518,498.27/3,614.80
  6. Step 6: Final answer
    x = 1,526.64

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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.