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Finding the Fourth Proportional to 1,842.80, 2,757.72 and 1,454

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Solution

The fourth proportional to 1,842.80, 2,757.72 and 1,454 is: 2,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.80 : 2,757.72 = 1,454 : x
  2. Step 2: Convert to fraction form
    1,842.80/2,757.72 = 1,454/x
  3. Step 3: Cross multiply
    1,842.80x = 2,757.72 × 1,454
  4. Step 4: Simplify right side
    1,842.80x = 4,009,724.88
  5. Step 5: Solve for x
    x = 4,009,724.88/1,842.80
  6. Step 6: Final answer
    x = 2,175.89

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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.