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Finding the Fourth Proportional to 7,972.76, 11,959.04 and 3,587.12

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Solution

The fourth proportional to 7,972.76, 11,959.04 and 3,587.12 is: 5,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.76 : 11,959.04 = 3,587.12 : x
  2. Step 2: Convert to fraction form
    7,972.76/11,959.04 = 3,587.12/x
  3. Step 3: Cross multiply
    7,972.76x = 11,959.04 × 3,587.12
  4. Step 4: Simplify right side
    7,972.76x = 42,898,511.56
  5. Step 5: Solve for x
    x = 42,898,511.56/7,972.76
  6. Step 6: Final answer
    x = 5,380.64

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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.