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Finding the Fourth Proportional to 35,641.32, 49,179.60 and 20,328

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Solution

The fourth proportional to 35,641.32, 49,179.60 and 20,328 is: 28,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,641.32 : 49,179.60 = 20,328 : x
  2. Step 2: Convert to fraction form
    35,641.32/49,179.60 = 20,328/x
  3. Step 3: Cross multiply
    35,641.32x = 49,179.60 × 20,328
  4. Step 4: Simplify right side
    35,641.32x = 999,722,908.80
  5. Step 5: Solve for x
    x = 999,722,908.80/35,641.32
  6. Step 6: Final answer
    x = 28,049.55

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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.