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Finding the Fourth Proportional to 2,920.47, 4,380.65 and 729.17

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Solution

The fourth proportional to 2,920.47, 4,380.65 and 729.17 is: 1,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.47 : 4,380.65 = 729.17 : x
  2. Step 2: Convert to fraction form
    2,920.47/4,380.65 = 729.17/x
  3. Step 3: Cross multiply
    2,920.47x = 4,380.65 × 729.17
  4. Step 4: Simplify right side
    2,920.47x = 3,194,213.01
  5. Step 5: Solve for x
    x = 3,194,213.01/2,920.47
  6. Step 6: Final answer
    x = 1,093.73

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1.5x scale

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.