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Finding the Fourth Proportional to 10,511.25, 15,751 and 6,346.63

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Solution

The fourth proportional to 10,511.25, 15,751 and 6,346.63 is: 9,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.25 : 15,751 = 6,346.63 : x
  2. Step 2: Convert to fraction form
    10,511.25/15,751 = 6,346.63/x
  3. Step 3: Cross multiply
    10,511.25x = 15,751 × 6,346.63
  4. Step 4: Simplify right side
    10,511.25x = 99,965,769.13
  5. Step 5: Solve for x
    x = 99,965,769.13/10,511.25
  6. Step 6: Final answer
    x = 9,510.36

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1.5x scale

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.