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Finding the Fourth Proportional to 20,062.84, 30,077.84 and 7,575.78

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Solution

The fourth proportional to 20,062.84, 30,077.84 and 7,575.78 is: 11,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,062.84 : 30,077.84 = 7,575.78 : x
  2. Step 2: Convert to fraction form
    20,062.84/30,077.84 = 7,575.78/x
  3. Step 3: Cross multiply
    20,062.84x = 30,077.84 × 7,575.78
  4. Step 4: Simplify right side
    20,062.84x = 227,863,098.72
  5. Step 5: Solve for x
    x = 227,863,098.72/20,062.84
  6. Step 6: Final answer
    x = 11,357.47

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1.5x scale

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.