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Finding the Fourth Proportional to 10,647.68, 15,971.50 and 2,855.88

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Solution

The fourth proportional to 10,647.68, 15,971.50 and 2,855.88 is: 4,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.68 : 15,971.50 = 2,855.88 : x
  2. Step 2: Convert to fraction form
    10,647.68/15,971.50 = 2,855.88/x
  3. Step 3: Cross multiply
    10,647.68x = 15,971.50 × 2,855.88
  4. Step 4: Simplify right side
    10,647.68x = 45,612,687.42
  5. Step 5: Solve for x
    x = 45,612,687.42/10,647.68
  6. Step 6: Final answer
    x = 4,283.81

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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.