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Finding the Fourth Proportional to 3,613.26, 5,420.23 and 980.81

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Solution

The fourth proportional to 3,613.26, 5,420.23 and 980.81 is: 1,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.26 : 5,420.23 = 980.81 : x
  2. Step 2: Convert to fraction form
    3,613.26/5,420.23 = 980.81/x
  3. Step 3: Cross multiply
    3,613.26x = 5,420.23 × 980.81
  4. Step 4: Simplify right side
    3,613.26x = 5,316,212.08
  5. Step 5: Solve for x
    x = 5,316,212.08/3,613.26
  6. Step 6: Final answer
    x = 1,471.31

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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.