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Finding the Fourth Proportional to 13,689.40, 20,542.20 and 9,982.30

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Solution

The fourth proportional to 13,689.40, 20,542.20 and 9,982.30 is: 14,979.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.40 : 20,542.20 = 9,982.30 : x
  2. Step 2: Convert to fraction form
    13,689.40/20,542.20 = 9,982.30/x
  3. Step 3: Cross multiply
    13,689.40x = 20,542.20 × 9,982.30
  4. Step 4: Simplify right side
    13,689.40x = 205,058,403.06
  5. Step 5: Solve for x
    x = 205,058,403.06/13,689.40
  6. Step 6: Final answer
    x = 14,979.36

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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.