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Finding the Fourth Proportional to 2,001.89, 3,002.59 and 615.22

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Solution

The fourth proportional to 2,001.89, 3,002.59 and 615.22 is: 922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.89 : 3,002.59 = 615.22 : x
  2. Step 2: Convert to fraction form
    2,001.89/3,002.59 = 615.22/x
  3. Step 3: Cross multiply
    2,001.89x = 3,002.59 × 615.22
  4. Step 4: Simplify right side
    2,001.89x = 1,847,256.86
  5. Step 5: Solve for x
    x = 1,847,256.86/2,001.89
  6. Step 6: Final answer
    x = 922.76

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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.