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Finding the Fourth Proportional to 5,108.50, 7,662.75 and 1,645.75

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Solution

The fourth proportional to 5,108.50, 7,662.75 and 1,645.75 is: 2,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.50 : 7,662.75 = 1,645.75 : x
  2. Step 2: Convert to fraction form
    5,108.50/7,662.75 = 1,645.75/x
  3. Step 3: Cross multiply
    5,108.50x = 7,662.75 × 1,645.75
  4. Step 4: Simplify right side
    5,108.50x = 12,610,970.81
  5. Step 5: Solve for x
    x = 12,610,970.81/5,108.50
  6. Step 6: Final answer
    x = 2,468.63

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.