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Finding the Fourth Proportional to 5,758.65, 7,947.02 and 3,400.79

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Solution

The fourth proportional to 5,758.65, 7,947.02 and 3,400.79 is: 4,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.65 : 7,947.02 = 3,400.79 : x
  2. Step 2: Convert to fraction form
    5,758.65/7,947.02 = 3,400.79/x
  3. Step 3: Cross multiply
    5,758.65x = 7,947.02 × 3,400.79
  4. Step 4: Simplify right side
    5,758.65x = 27,026,114.91
  5. Step 5: Solve for x
    x = 27,026,114.91/5,758.65
  6. Step 6: Final answer
    x = 4,693.13

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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.