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Finding the Fourth Proportional to 3,972.72, 5,959.08 and 2,947.44

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Solution

The fourth proportional to 3,972.72, 5,959.08 and 2,947.44 is: 4,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.72 : 5,959.08 = 2,947.44 : x
  2. Step 2: Convert to fraction form
    3,972.72/5,959.08 = 2,947.44/x
  3. Step 3: Cross multiply
    3,972.72x = 5,959.08 × 2,947.44
  4. Step 4: Simplify right side
    3,972.72x = 17,564,030.76
  5. Step 5: Solve for x
    x = 17,564,030.76/3,972.72
  6. Step 6: Final answer
    x = 4,421.16

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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.