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Finding the Fourth Proportional to 3,955.65, 5,456.16 and 3,114.96

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Solution

The fourth proportional to 3,955.65, 5,456.16 and 3,114.96 is: 4,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.65 : 5,456.16 = 3,114.96 : x
  2. Step 2: Convert to fraction form
    3,955.65/5,456.16 = 3,114.96/x
  3. Step 3: Cross multiply
    3,955.65x = 5,456.16 × 3,114.96
  4. Step 4: Simplify right side
    3,955.65x = 16,995,720.15
  5. Step 5: Solve for x
    x = 16,995,720.15/3,955.65
  6. Step 6: Final answer
    x = 4,296.57

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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.