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Finding the Fourth Proportional to 27,149.88, 40,702.12 and 18,846.10

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Solution

The fourth proportional to 27,149.88, 40,702.12 and 18,846.10 is: 28,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149.88 : 40,702.12 = 18,846.10 : x
  2. Step 2: Convert to fraction form
    27,149.88/40,702.12 = 18,846.10/x
  3. Step 3: Cross multiply
    27,149.88x = 40,702.12 × 18,846.10
  4. Step 4: Simplify right side
    27,149.88x = 767,076,223.73
  5. Step 5: Solve for x
    x = 767,076,223.73/27,149.88
  6. Step 6: Final answer
    x = 28,253.39

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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.