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Finding the Fourth Proportional to 2,975, 4,096.12 and 2,264.56

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Solution

The fourth proportional to 2,975, 4,096.12 and 2,264.56 is: 3,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975 : 4,096.12 = 2,264.56 : x
  2. Step 2: Convert to fraction form
    2,975/4,096.12 = 2,264.56/x
  3. Step 3: Cross multiply
    2,975x = 4,096.12 × 2,264.56
  4. Step 4: Simplify right side
    2,975x = 9,275,909.51
  5. Step 5: Solve for x
    x = 9,275,909.51/2,975
  6. Step 6: Final answer
    x = 3,117.95

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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.