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Finding the Fourth Proportional to 1,613.42, 2,420.12 and 1,151.41

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Solution

The fourth proportional to 1,613.42, 2,420.12 and 1,151.41 is: 1,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.42 : 2,420.12 = 1,151.41 : x
  2. Step 2: Convert to fraction form
    1,613.42/2,420.12 = 1,151.41/x
  3. Step 3: Cross multiply
    1,613.42x = 2,420.12 × 1,151.41
  4. Step 4: Simplify right side
    1,613.42x = 2,786,550.37
  5. Step 5: Solve for x
    x = 2,786,550.37/1,613.42
  6. Step 6: Final answer
    x = 1,727.11

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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.