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Finding the Fourth Proportional to 30,227.40, 45,342 and 8,040.78

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Solution

The fourth proportional to 30,227.40, 45,342 and 8,040.78 is: 12,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.40 : 45,342 = 8,040.78 : x
  2. Step 2: Convert to fraction form
    30,227.40/45,342 = 8,040.78/x
  3. Step 3: Cross multiply
    30,227.40x = 45,342 × 8,040.78
  4. Step 4: Simplify right side
    30,227.40x = 364,585,046.76
  5. Step 5: Solve for x
    x = 364,585,046.76/30,227.40
  6. Step 6: Final answer
    x = 12,061.41

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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.