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Finding the Fourth Proportional to 1,842.48, 2,543.04 and 1,253.25

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Solution

The fourth proportional to 1,842.48, 2,543.04 and 1,253.25 is: 1,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.48 : 2,543.04 = 1,253.25 : x
  2. Step 2: Convert to fraction form
    1,842.48/2,543.04 = 1,253.25/x
  3. Step 3: Cross multiply
    1,842.48x = 2,543.04 × 1,253.25
  4. Step 4: Simplify right side
    1,842.48x = 3,187,064.88
  5. Step 5: Solve for x
    x = 3,187,064.88/1,842.48
  6. Step 6: Final answer
    x = 1,729.77

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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.