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Finding the Fourth Proportional to 2,920.74, 4,380.06 and 972.52

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Solution

The fourth proportional to 2,920.74, 4,380.06 and 972.52 is: 1,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.74 : 4,380.06 = 972.52 : x
  2. Step 2: Convert to fraction form
    2,920.74/4,380.06 = 972.52/x
  3. Step 3: Cross multiply
    2,920.74x = 4,380.06 × 972.52
  4. Step 4: Simplify right side
    2,920.74x = 4,259,695.95
  5. Step 5: Solve for x
    x = 4,259,695.95/2,920.74
  6. Step 6: Final answer
    x = 1,458.43

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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.