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Finding the Fourth Proportional to 2,909.76, 4,016.04 and 1,731.48

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Solution

The fourth proportional to 2,909.76, 4,016.04 and 1,731.48 is: 2,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.76 : 4,016.04 = 1,731.48 : x
  2. Step 2: Convert to fraction form
    2,909.76/4,016.04 = 1,731.48/x
  3. Step 3: Cross multiply
    2,909.76x = 4,016.04 × 1,731.48
  4. Step 4: Simplify right side
    2,909.76x = 6,953,692.94
  5. Step 5: Solve for x
    x = 6,953,692.94/2,909.76
  6. Step 6: Final answer
    x = 2,389.78

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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.