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Finding the Fourth Proportional to 2,892.50, 4,340.28 and 1,248.90

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Solution

The fourth proportional to 2,892.50, 4,340.28 and 1,248.90 is: 1,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.50 : 4,340.28 = 1,248.90 : x
  2. Step 2: Convert to fraction form
    2,892.50/4,340.28 = 1,248.90/x
  3. Step 3: Cross multiply
    2,892.50x = 4,340.28 × 1,248.90
  4. Step 4: Simplify right side
    2,892.50x = 5,420,575.69
  5. Step 5: Solve for x
    x = 5,420,575.69/2,892.50
  6. Step 6: Final answer
    x = 1,874.01

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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.