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Finding the Fourth Proportional to 2,676.65, 4,013.97 and 921.15

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Solution

The fourth proportional to 2,676.65, 4,013.97 and 921.15 is: 1,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.65 : 4,013.97 = 921.15 : x
  2. Step 2: Convert to fraction form
    2,676.65/4,013.97 = 921.15/x
  3. Step 3: Cross multiply
    2,676.65x = 4,013.97 × 921.15
  4. Step 4: Simplify right side
    2,676.65x = 3,697,468.47
  5. Step 5: Solve for x
    x = 3,697,468.47/2,676.65
  6. Step 6: Final answer
    x = 1,381.38

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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.