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Finding the Fourth Proportional to 21,380.40, 32,086.80 and 13,982.40

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Solution

The fourth proportional to 21,380.40, 32,086.80 and 13,982.40 is: 20,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.40 : 32,086.80 = 13,982.40 : x
  2. Step 2: Convert to fraction form
    21,380.40/32,086.80 = 13,982.40/x
  3. Step 3: Cross multiply
    21,380.40x = 32,086.80 × 13,982.40
  4. Step 4: Simplify right side
    21,380.40x = 448,650,472.32
  5. Step 5: Solve for x
    x = 448,650,472.32/21,380.40
  6. Step 6: Final answer
    x = 20,984.19

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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.