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Finding the Fourth Proportional to 37,348, 51,540.78 and 20,581

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Solution

The fourth proportional to 37,348, 51,540.78 and 20,581 is: 28,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,348 : 51,540.78 = 20,581 : x
  2. Step 2: Convert to fraction form
    37,348/51,540.78 = 20,581/x
  3. Step 3: Cross multiply
    37,348x = 51,540.78 × 20,581
  4. Step 4: Simplify right side
    37,348x = 1,060,760,793.18
  5. Step 5: Solve for x
    x = 1,060,760,793.18/37,348
  6. Step 6: Final answer
    x = 28,402.08

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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.