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Finding the Fourth Proportional to 38,760, 53,414.08 and 27,562.56

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Solution

The fourth proportional to 38,760, 53,414.08 and 27,562.56 is: 37,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,760 : 53,414.08 = 27,562.56 : x
  2. Step 2: Convert to fraction form
    38,760/53,414.08 = 27,562.56/x
  3. Step 3: Cross multiply
    38,760x = 53,414.08 × 27,562.56
  4. Step 4: Simplify right side
    38,760x = 1,472,228,784.84
  5. Step 5: Solve for x
    x = 1,472,228,784.84/38,760
  6. Step 6: Final answer
    x = 37,983.20

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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.