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Finding the Fourth Proportional to 35,757.38, 49,345.02 and 19,841.78

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Solution

The fourth proportional to 35,757.38, 49,345.02 and 19,841.78 is: 27,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,757.38 : 49,345.02 = 19,841.78 : x
  2. Step 2: Convert to fraction form
    35,757.38/49,345.02 = 19,841.78/x
  3. Step 3: Cross multiply
    35,757.38x = 49,345.02 × 19,841.78
  4. Step 4: Simplify right side
    35,757.38x = 979,093,154.30
  5. Step 5: Solve for x
    x = 979,093,154.30/35,757.38
  6. Step 6: Final answer
    x = 27,381.57

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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.