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Finding the Fourth Proportional to 2,711.52, 4,060.80 and 1,985.76

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Solution

The fourth proportional to 2,711.52, 4,060.80 and 1,985.76 is: 2,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.52 : 4,060.80 = 1,985.76 : x
  2. Step 2: Convert to fraction form
    2,711.52/4,060.80 = 1,985.76/x
  3. Step 3: Cross multiply
    2,711.52x = 4,060.80 × 1,985.76
  4. Step 4: Simplify right side
    2,711.52x = 8,063,774.21
  5. Step 5: Solve for x
    x = 8,063,774.21/2,711.52
  6. Step 6: Final answer
    x = 2,973.89

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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.