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Finding the Fourth Proportional to 1,940.38, 2,911.47 and 707.92

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Solution

The fourth proportional to 1,940.38, 2,911.47 and 707.92 is: 1,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.38 : 2,911.47 = 707.92 : x
  2. Step 2: Convert to fraction form
    1,940.38/2,911.47 = 707.92/x
  3. Step 3: Cross multiply
    1,940.38x = 2,911.47 × 707.92
  4. Step 4: Simplify right side
    1,940.38x = 2,061,087.84
  5. Step 5: Solve for x
    x = 2,061,087.84/1,940.38
  6. Step 6: Final answer
    x = 1,062.21

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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.