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Finding the Fourth Proportional to 2,920.43, 4,381.34 and 972.65

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Solution

The fourth proportional to 2,920.43, 4,381.34 and 972.65 is: 1,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.43 : 4,381.34 = 972.65 : x
  2. Step 2: Convert to fraction form
    2,920.43/4,381.34 = 972.65/x
  3. Step 3: Cross multiply
    2,920.43x = 4,381.34 × 972.65
  4. Step 4: Simplify right side
    2,920.43x = 4,261,483.58
  5. Step 5: Solve for x
    x = 4,261,483.58/2,920.43
  6. Step 6: Final answer
    x = 1,459.20

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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.