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Finding the Fourth Proportional to 18,577.88, 27,866.46 and 4,538

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Solution

The fourth proportional to 18,577.88, 27,866.46 and 4,538 is: 6,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.88 : 27,866.46 = 4,538 : x
  2. Step 2: Convert to fraction form
    18,577.88/27,866.46 = 4,538/x
  3. Step 3: Cross multiply
    18,577.88x = 27,866.46 × 4,538
  4. Step 4: Simplify right side
    18,577.88x = 126,457,995.48
  5. Step 5: Solve for x
    x = 126,457,995.48/18,577.88
  6. Step 6: Final answer
    x = 6,806.91

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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.