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Finding the Fourth Proportional to 37,115, 51,218.70 and 20,348

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Solution

The fourth proportional to 37,115, 51,218.70 and 20,348 is: 28,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,115 : 51,218.70 = 20,348 : x
  2. Step 2: Convert to fraction form
    37,115/51,218.70 = 20,348/x
  3. Step 3: Cross multiply
    37,115x = 51,218.70 × 20,348
  4. Step 4: Simplify right side
    37,115x = 1,042,198,107.60
  5. Step 5: Solve for x
    x = 1,042,198,107.60/37,115
  6. Step 6: Final answer
    x = 28,080.24

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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.