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Finding the Fourth Proportional to 1,781.76, 2,468.76 and 1,741.44

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Solution

The fourth proportional to 1,781.76, 2,468.76 and 1,741.44 is: 2,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.76 : 2,468.76 = 1,741.44 : x
  2. Step 2: Convert to fraction form
    1,781.76/2,468.76 = 1,741.44/x
  3. Step 3: Cross multiply
    1,781.76x = 2,468.76 × 1,741.44
  4. Step 4: Simplify right side
    1,781.76x = 4,299,197.41
  5. Step 5: Solve for x
    x = 4,299,197.41/1,781.76
  6. Step 6: Final answer
    x = 2,412.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.