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Finding the Fourth Proportional to 21,380.80, 32,114.40 and 20,646.40

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Solution

The fourth proportional to 21,380.80, 32,114.40 and 20,646.40 is: 31,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.80 : 32,114.40 = 20,646.40 : x
  2. Step 2: Convert to fraction form
    21,380.80/32,114.40 = 20,646.40/x
  3. Step 3: Cross multiply
    21,380.80x = 32,114.40 × 20,646.40
  4. Step 4: Simplify right side
    21,380.80x = 663,046,748.16
  5. Step 5: Solve for x
    x = 663,046,748.16/21,380.80
  6. Step 6: Final answer
    x = 31,011.32

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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.