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Finding the Fourth Proportional to 5,707, 7,876.38 and 3,223

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Solution

The fourth proportional to 5,707, 7,876.38 and 3,223 is: 4,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707 : 7,876.38 = 3,223 : x
  2. Step 2: Convert to fraction form
    5,707/7,876.38 = 3,223/x
  3. Step 3: Cross multiply
    5,707x = 7,876.38 × 3,223
  4. Step 4: Simplify right side
    5,707x = 25,385,572.74
  5. Step 5: Solve for x
    x = 25,385,572.74/5,707
  6. Step 6: Final answer
    x = 4,448.15

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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.