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Finding the Fourth Proportional to 10,146, 15,221.56 and 2,850

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Solution

The fourth proportional to 10,146, 15,221.56 and 2,850 is: 4,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146 : 15,221.56 = 2,850 : x
  2. Step 2: Convert to fraction form
    10,146/15,221.56 = 2,850/x
  3. Step 3: Cross multiply
    10,146x = 15,221.56 × 2,850
  4. Step 4: Simplify right side
    10,146x = 43,381,446
  5. Step 5: Solve for x
    x = 43,381,446/10,146
  6. Step 6: Final answer
    x = 4,275.72

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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.