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Finding the Fourth Proportional to 20,098.80, 30,150 and 5,307.52

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Solution

The fourth proportional to 20,098.80, 30,150 and 5,307.52 is: 7,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.80 : 30,150 = 5,307.52 : x
  2. Step 2: Convert to fraction form
    20,098.80/30,150 = 5,307.52/x
  3. Step 3: Cross multiply
    20,098.80x = 30,150 × 5,307.52
  4. Step 4: Simplify right side
    20,098.80x = 160,021,728
  5. Step 5: Solve for x
    x = 160,021,728/20,098.80
  6. Step 6: Final answer
    x = 7,961.76

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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.