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Finding the Fourth Proportional to 2,920.43, 4,380.68 and 972.63

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Solution

The fourth proportional to 2,920.43, 4,380.68 and 972.63 is: 1,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.43 : 4,380.68 = 972.63 : x
  2. Step 2: Convert to fraction form
    2,920.43/4,380.68 = 972.63/x
  3. Step 3: Cross multiply
    2,920.43x = 4,380.68 × 972.63
  4. Step 4: Simplify right side
    2,920.43x = 4,260,795.54
  5. Step 5: Solve for x
    x = 4,260,795.54/2,920.43
  6. Step 6: Final answer
    x = 1,458.96

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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.