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Finding the Fourth Proportional to 4,613.13, 6,919.65 and 1,326.15

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Solution

The fourth proportional to 4,613.13, 6,919.65 and 1,326.15 is: 1,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.13 : 6,919.65 = 1,326.15 : x
  2. Step 2: Convert to fraction form
    4,613.13/6,919.65 = 1,326.15/x
  3. Step 3: Cross multiply
    4,613.13x = 6,919.65 × 1,326.15
  4. Step 4: Simplify right side
    4,613.13x = 9,176,493.85
  5. Step 5: Solve for x
    x = 9,176,493.85/4,613.13
  6. Step 6: Final answer
    x = 1,989.21

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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.