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Finding the Fourth Proportional to 10,751, 16,125.78 and 2,959.88

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Solution

The fourth proportional to 10,751, 16,125.78 and 2,959.88 is: 4,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751 : 16,125.78 = 2,959.88 : x
  2. Step 2: Convert to fraction form
    10,751/16,125.78 = 2,959.88/x
  3. Step 3: Cross multiply
    10,751x = 16,125.78 × 2,959.88
  4. Step 4: Simplify right side
    10,751x = 47,730,373.71
  5. Step 5: Solve for x
    x = 47,730,373.71/10,751
  6. Step 6: Final answer
    x = 4,439.62

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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.