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Finding the Fourth Proportional to 10,643.67, 15,965.51 and 2,851.88

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Solution

The fourth proportional to 10,643.67, 15,965.51 and 2,851.88 is: 4,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.67 : 15,965.51 = 2,851.88 : x
  2. Step 2: Convert to fraction form
    10,643.67/15,965.51 = 2,851.88/x
  3. Step 3: Cross multiply
    10,643.67x = 15,965.51 × 2,851.88
  4. Step 4: Simplify right side
    10,643.67x = 45,531,624.57
  5. Step 5: Solve for x
    x = 45,531,624.57/10,643.67
  6. Step 6: Final answer
    x = 4,277.81

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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.