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Finding the Fourth Proportional to 2,676.52, 4,013.78 and 921.03

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Solution

The fourth proportional to 2,676.52, 4,013.78 and 921.03 is: 1,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.52 : 4,013.78 = 921.03 : x
  2. Step 2: Convert to fraction form
    2,676.52/4,013.78 = 921.03/x
  3. Step 3: Cross multiply
    2,676.52x = 4,013.78 × 921.03
  4. Step 4: Simplify right side
    2,676.52x = 3,696,810.64
  5. Step 5: Solve for x
    x = 3,696,810.64/2,676.52
  6. Step 6: Final answer
    x = 1,381.20

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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.