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Finding the Fourth Proportional to 10,661.14, 15,991.71 and 2,869.75

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Solution

The fourth proportional to 10,661.14, 15,991.71 and 2,869.75 is: 4,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.14 : 15,991.71 = 2,869.75 : x
  2. Step 2: Convert to fraction form
    10,661.14/15,991.71 = 2,869.75/x
  3. Step 3: Cross multiply
    10,661.14x = 15,991.71 × 2,869.75
  4. Step 4: Simplify right side
    10,661.14x = 45,892,209.77
  5. Step 5: Solve for x
    x = 45,892,209.77/10,661.14
  6. Step 6: Final answer
    x = 4,304.63

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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.