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Finding the Fourth Proportional to 38,538, 57,818.67 and 27,315.06

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Solution

The fourth proportional to 38,538, 57,818.67 and 27,315.06 is: 40,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,538 : 57,818.67 = 27,315.06 : x
  2. Step 2: Convert to fraction form
    38,538/57,818.67 = 27,315.06/x
  3. Step 3: Cross multiply
    38,538x = 57,818.67 × 27,315.06
  4. Step 4: Simplify right side
    38,538x = 1,579,320,440.17
  5. Step 5: Solve for x
    x = 1,579,320,440.17/38,538
  6. Step 6: Final answer
    x = 40,980.86

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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.