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Finding the Fourth Proportional to 20,449, 28,208.07 and 12,882.34

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Solution

The fourth proportional to 20,449, 28,208.07 and 12,882.34 is: 17,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449 : 28,208.07 = 12,882.34 : x
  2. Step 2: Convert to fraction form
    20,449/28,208.07 = 12,882.34/x
  3. Step 3: Cross multiply
    20,449x = 28,208.07 × 12,882.34
  4. Step 4: Simplify right side
    20,449x = 363,385,948.48
  5. Step 5: Solve for x
    x = 363,385,948.48/20,449
  6. Step 6: Final answer
    x = 17,770.35

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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.