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Finding the Fourth Proportional to 1,937.74, 2,906.88 and 705.01

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Solution

The fourth proportional to 1,937.74, 2,906.88 and 705.01 is: 1,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.74 : 2,906.88 = 705.01 : x
  2. Step 2: Convert to fraction form
    1,937.74/2,906.88 = 705.01/x
  3. Step 3: Cross multiply
    1,937.74x = 2,906.88 × 705.01
  4. Step 4: Simplify right side
    1,937.74x = 2,049,375.94
  5. Step 5: Solve for x
    x = 2,049,375.94/1,937.74
  6. Step 6: Final answer
    x = 1,057.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.