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Finding the Fourth Proportional to 20,880.40, 28,814.82 and 11,449

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Solution

The fourth proportional to 20,880.40, 28,814.82 and 11,449 is: 15,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,880.40 : 28,814.82 = 11,449 : x
  2. Step 2: Convert to fraction form
    20,880.40/28,814.82 = 11,449/x
  3. Step 3: Cross multiply
    20,880.40x = 28,814.82 × 11,449
  4. Step 4: Simplify right side
    20,880.40x = 329,900,874.18
  5. Step 5: Solve for x
    x = 329,900,874.18/20,880.40
  6. Step 6: Final answer
    x = 15,799.55

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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.