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Finding the Fourth Proportional to 20,851.78, 28,774.56 and 12,894.88

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Solution

The fourth proportional to 20,851.78, 28,774.56 and 12,894.88 is: 17,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.78 : 28,774.56 = 12,894.88 : x
  2. Step 2: Convert to fraction form
    20,851.78/28,774.56 = 12,894.88/x
  3. Step 3: Cross multiply
    20,851.78x = 28,774.56 × 12,894.88
  4. Step 4: Simplify right side
    20,851.78x = 371,044,498.25
  5. Step 5: Solve for x
    x = 371,044,498.25/20,851.78
  6. Step 6: Final answer
    x = 17,794.38

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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.