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Finding the Fourth Proportional to 40,028.70, 55,198.04 and 34,382

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Solution

The fourth proportional to 40,028.70, 55,198.04 and 34,382 is: 47,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,028.70 : 55,198.04 = 34,382 : x
  2. Step 2: Convert to fraction form
    40,028.70/55,198.04 = 34,382/x
  3. Step 3: Cross multiply
    40,028.70x = 55,198.04 × 34,382
  4. Step 4: Simplify right side
    40,028.70x = 1,897,819,011.28
  5. Step 5: Solve for x
    x = 1,897,819,011.28/40,028.70
  6. Step 6: Final answer
    x = 47,411.46

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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.