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Finding the Fourth Proportional to 20,791.32, 28,701.44 and 13,248

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Solution

The fourth proportional to 20,791.32, 28,701.44 and 13,248 is: 18,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.32 : 28,701.44 = 13,248 : x
  2. Step 2: Convert to fraction form
    20,791.32/28,701.44 = 13,248/x
  3. Step 3: Cross multiply
    20,791.32x = 28,701.44 × 13,248
  4. Step 4: Simplify right side
    20,791.32x = 380,236,677.12
  5. Step 5: Solve for x
    x = 380,236,677.12/20,791.32
  6. Step 6: Final answer
    x = 18,288.24

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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.