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Finding the Fourth Proportional to 20,772, 28,665.36 and 13,320

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Solution

The fourth proportional to 20,772, 28,665.36 and 13,320 is: 18,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772 : 28,665.36 = 13,320 : x
  2. Step 2: Convert to fraction form
    20,772/28,665.36 = 13,320/x
  3. Step 3: Cross multiply
    20,772x = 28,665.36 × 13,320
  4. Step 4: Simplify right side
    20,772x = 381,822,595.20
  5. Step 5: Solve for x
    x = 381,822,595.20/20,772
  6. Step 6: Final answer
    x = 18,381.60

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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.