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Finding the Fourth Proportional to 13,854.76, 20,779.17 and 3,992.20

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Solution

The fourth proportional to 13,854.76, 20,779.17 and 3,992.20 is: 5,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.76 : 20,779.17 = 3,992.20 : x
  2. Step 2: Convert to fraction form
    13,854.76/20,779.17 = 3,992.20/x
  3. Step 3: Cross multiply
    13,854.76x = 20,779.17 × 3,992.20
  4. Step 4: Simplify right side
    13,854.76x = 82,954,602.47
  5. Step 5: Solve for x
    x = 82,954,602.47/13,854.76
  6. Step 6: Final answer
    x = 5,987.44

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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.