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Finding the Fourth Proportional to 5,685.70, 7,846.84 and 3,167.82

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Solution

The fourth proportional to 5,685.70, 7,846.84 and 3,167.82 is: 4,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.70 : 7,846.84 = 3,167.82 : x
  2. Step 2: Convert to fraction form
    5,685.70/7,846.84 = 3,167.82/x
  3. Step 3: Cross multiply
    5,685.70x = 7,846.84 × 3,167.82
  4. Step 4: Simplify right side
    5,685.70x = 24,857,376.69
  5. Step 5: Solve for x
    x = 24,857,376.69/5,685.70
  6. Step 6: Final answer
    x = 4,371.91

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Half scale
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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.