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Finding the Fourth Proportional to 1,939.32, 2,894.00 and 1,731.66

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Solution

The fourth proportional to 1,939.32, 2,894.00 and 1,731.66 is: 2,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.32 : 2,894.00 = 1,731.66 : x
  2. Step 2: Convert to fraction form
    1,939.32/2,894.00 = 1,731.66/x
  3. Step 3: Cross multiply
    1,939.32x = 2,894.00 × 1,731.66
  4. Step 4: Simplify right side
    1,939.32x = 5,011,415.38
  5. Step 5: Solve for x
    x = 5,011,415.38/1,939.32
  6. Step 6: Final answer
    x = 2,584.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.