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Finding the Fourth Proportional to 1,351.80, 1,867.50 and 1,071.15

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Solution

The fourth proportional to 1,351.80, 1,867.50 and 1,071.15 is: 1,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.80 : 1,867.50 = 1,071.15 : x
  2. Step 2: Convert to fraction form
    1,351.80/1,867.50 = 1,071.15/x
  3. Step 3: Cross multiply
    1,351.80x = 1,867.50 × 1,071.15
  4. Step 4: Simplify right side
    1,351.80x = 2,000,372.63
  5. Step 5: Solve for x
    x = 2,000,372.63/1,351.80
  6. Step 6: Final answer
    x = 1,479.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.