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Finding the Fourth Proportional to 37,257, 51,414.90 and 20,261.43

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Solution

The fourth proportional to 37,257, 51,414.90 and 20,261.43 is: 27,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,257 : 51,414.90 = 20,261.43 : x
  2. Step 2: Convert to fraction form
    37,257/51,414.90 = 20,261.43/x
  3. Step 3: Cross multiply
    37,257x = 51,414.90 × 20,261.43
  4. Step 4: Simplify right side
    37,257x = 1,041,739,397.31
  5. Step 5: Solve for x
    x = 1,041,739,397.31/37,257
  6. Step 6: Final answer
    x = 27,960.90

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1.5x scale

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.