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Finding the Fourth Proportional to 2,920.89, 4,381.31 and 729.61

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Solution

The fourth proportional to 2,920.89, 4,381.31 and 729.61 is: 1,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.89 : 4,381.31 = 729.61 : x
  2. Step 2: Convert to fraction form
    2,920.89/4,381.31 = 729.61/x
  3. Step 3: Cross multiply
    2,920.89x = 4,381.31 × 729.61
  4. Step 4: Simplify right side
    2,920.89x = 3,196,638.46
  5. Step 5: Solve for x
    x = 3,196,638.46/2,920.89
  6. Step 6: Final answer
    x = 1,094.41

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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.