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Finding the Fourth Proportional to 3,980.34, 5,489.17 and 2,488.32

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Solution

The fourth proportional to 3,980.34, 5,489.17 and 2,488.32 is: 3,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.34 : 5,489.17 = 2,488.32 : x
  2. Step 2: Convert to fraction form
    3,980.34/5,489.17 = 2,488.32/x
  3. Step 3: Cross multiply
    3,980.34x = 5,489.17 × 2,488.32
  4. Step 4: Simplify right side
    3,980.34x = 13,658,805.27
  5. Step 5: Solve for x
    x = 13,658,805.27/3,980.34
  6. Step 6: Final answer
    x = 3,431.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.