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Finding the Fourth Proportional to 11,742, 17,613.01 and 2,976.90

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Solution

The fourth proportional to 11,742, 17,613.01 and 2,976.90 is: 4,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742 : 17,613.01 = 2,976.90 : x
  2. Step 2: Convert to fraction form
    11,742/17,613.01 = 2,976.90/x
  3. Step 3: Cross multiply
    11,742x = 17,613.01 × 2,976.90
  4. Step 4: Simplify right side
    11,742x = 52,432,169.47
  5. Step 5: Solve for x
    x = 52,432,169.47/11,742
  6. Step 6: Final answer
    x = 4,465.35

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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.