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Finding the Fourth Proportional to 38,271.68, 57,354.06 and 18,545

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Solution

The fourth proportional to 38,271.68, 57,354.06 and 18,545 is: 27,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,271.68 : 57,354.06 = 18,545 : x
  2. Step 2: Convert to fraction form
    38,271.68/57,354.06 = 18,545/x
  3. Step 3: Cross multiply
    38,271.68x = 57,354.06 × 18,545
  4. Step 4: Simplify right side
    38,271.68x = 1,063,631,042.70
  5. Step 5: Solve for x
    x = 1,063,631,042.70/38,271.68
  6. Step 6: Final answer
    x = 27,791.60

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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.