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Finding the Fourth Proportional to 5,644.75, 7,789.76 and 3,160.75

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Solution

The fourth proportional to 5,644.75, 7,789.76 and 3,160.75 is: 4,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.75 : 7,789.76 = 3,160.75 : x
  2. Step 2: Convert to fraction form
    5,644.75/7,789.76 = 3,160.75/x
  3. Step 3: Cross multiply
    5,644.75x = 7,789.76 × 3,160.75
  4. Step 4: Simplify right side
    5,644.75x = 24,621,483.92
  5. Step 5: Solve for x
    x = 24,621,483.92/5,644.75
  6. Step 6: Final answer
    x = 4,361.84

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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.