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Finding the Fourth Proportional to 3,613.59, 5,420.72 and 1,421.80

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Solution

The fourth proportional to 3,613.59, 5,420.72 and 1,421.80 is: 2,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.59 : 5,420.72 = 1,421.80 : x
  2. Step 2: Convert to fraction form
    3,613.59/5,420.72 = 1,421.80/x
  3. Step 3: Cross multiply
    3,613.59x = 5,420.72 × 1,421.80
  4. Step 4: Simplify right side
    3,613.59x = 7,707,169.70
  5. Step 5: Solve for x
    x = 7,707,169.70/3,613.59
  6. Step 6: Final answer
    x = 2,132.83

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1.5x scale

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.