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Finding the Fourth Proportional to 3,613.77, 5,421.02 and 981.32

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Solution

The fourth proportional to 3,613.77, 5,421.02 and 981.32 is: 1,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.77 : 5,421.02 = 981.32 : x
  2. Step 2: Convert to fraction form
    3,613.77/5,421.02 = 981.32/x
  3. Step 3: Cross multiply
    3,613.77x = 5,421.02 × 981.32
  4. Step 4: Simplify right side
    3,613.77x = 5,319,723.33
  5. Step 5: Solve for x
    x = 5,319,723.33/3,613.77
  6. Step 6: Final answer
    x = 1,472.07

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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.