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Finding the Fourth Proportional to 20,179.30, 30,264.80 and 7,696.52

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Solution

The fourth proportional to 20,179.30, 30,264.80 and 7,696.52 is: 11,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.30 : 30,264.80 = 7,696.52 : x
  2. Step 2: Convert to fraction form
    20,179.30/30,264.80 = 7,696.52/x
  3. Step 3: Cross multiply
    20,179.30x = 30,264.80 × 7,696.52
  4. Step 4: Simplify right side
    20,179.30x = 232,933,638.50
  5. Step 5: Solve for x
    x = 232,933,638.50/20,179.30
  6. Step 6: Final answer
    x = 11,543.20

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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.