Home / 1,654.72-2,278.08-1,432.96

Finding the Fourth Proportional to 1,654.72, 2,278.08 and 1,432.96

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Solution

The fourth proportional to 1,654.72, 2,278.08 and 1,432.96 is: 1,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.72 : 2,278.08 = 1,432.96 : x
  2. Step 2: Convert to fraction form
    1,654.72/2,278.08 = 1,432.96/x
  3. Step 3: Cross multiply
    1,654.72x = 2,278.08 × 1,432.96
  4. Step 4: Simplify right side
    1,654.72x = 3,264,397.52
  5. Step 5: Solve for x
    x = 3,264,397.52/1,654.72
  6. Step 6: Final answer
    x = 1,972.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.