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Finding the Fourth Proportional to 3,105.10, 4,657.65 and 765.16

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Solution

The fourth proportional to 3,105.10, 4,657.65 and 765.16 is: 1,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.10 : 4,657.65 = 765.16 : x
  2. Step 2: Convert to fraction form
    3,105.10/4,657.65 = 765.16/x
  3. Step 3: Cross multiply
    3,105.10x = 4,657.65 × 765.16
  4. Step 4: Simplify right side
    3,105.10x = 3,563,839.42
  5. Step 5: Solve for x
    x = 3,563,839.42/3,105.10
  6. Step 6: Final answer
    x = 1,147.74

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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.