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Finding the Fourth Proportional to 3,073.71, 4,610.84 and 1,318.80

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Solution

The fourth proportional to 3,073.71, 4,610.84 and 1,318.80 is: 1,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.71 : 4,610.84 = 1,318.80 : x
  2. Step 2: Convert to fraction form
    3,073.71/4,610.84 = 1,318.80/x
  3. Step 3: Cross multiply
    3,073.71x = 4,610.84 × 1,318.80
  4. Step 4: Simplify right side
    3,073.71x = 6,080,769.20
  5. Step 5: Solve for x
    x = 6,080,769.20/3,073.71
  6. Step 6: Final answer
    x = 1,978.32

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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.