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Finding the Fourth Proportional to 20,320, 28,041.69 and 11,367.49

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Solution

The fourth proportional to 20,320, 28,041.69 and 11,367.49 is: 15,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,320 : 28,041.69 = 11,367.49 : x
  2. Step 2: Convert to fraction form
    20,320/28,041.69 = 11,367.49/x
  3. Step 3: Cross multiply
    20,320x = 28,041.69 × 11,367.49
  4. Step 4: Simplify right side
    20,320x = 318,763,630.66
  5. Step 5: Solve for x
    x = 318,763,630.66/20,320
  6. Step 6: Final answer
    x = 15,687.19

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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.