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Finding the Fourth Proportional to 1,742.96, 2,613.66 and 818.78

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Solution

The fourth proportional to 1,742.96, 2,613.66 and 818.78 is: 1,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.96 : 2,613.66 = 818.78 : x
  2. Step 2: Convert to fraction form
    1,742.96/2,613.66 = 818.78/x
  3. Step 3: Cross multiply
    1,742.96x = 2,613.66 × 818.78
  4. Step 4: Simplify right side
    1,742.96x = 2,139,999.47
  5. Step 5: Solve for x
    x = 2,139,999.47/1,742.96
  6. Step 6: Final answer
    x = 1,227.80

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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.