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Finding the Fourth Proportional to 5,639.78, 7,781 and 3,279.98

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Solution

The fourth proportional to 5,639.78, 7,781 and 3,279.98 is: 4,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.78 : 7,781 = 3,279.98 : x
  2. Step 2: Convert to fraction form
    5,639.78/7,781 = 3,279.98/x
  3. Step 3: Cross multiply
    5,639.78x = 7,781 × 3,279.98
  4. Step 4: Simplify right side
    5,639.78x = 25,521,524.38
  5. Step 5: Solve for x
    x = 25,521,524.38/5,639.78
  6. Step 6: Final answer
    x = 4,525.27

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Double scale
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1.5x scale

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.