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Finding the Fourth Proportional to 5,105.71, 7,653.12 and 2,909.71

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Solution

The fourth proportional to 5,105.71, 7,653.12 and 2,909.71 is: 4,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.71 : 7,653.12 = 2,909.71 : x
  2. Step 2: Convert to fraction form
    5,105.71/7,653.12 = 2,909.71/x
  3. Step 3: Cross multiply
    5,105.71x = 7,653.12 × 2,909.71
  4. Step 4: Simplify right side
    5,105.71x = 22,268,329.75
  5. Step 5: Solve for x
    x = 22,268,329.75/5,105.71
  6. Step 6: Final answer
    x = 4,361.46

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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.