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Finding the Fourth Proportional to 12,470.14, 17,205.78 and 7,751.08

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Solution

The fourth proportional to 12,470.14, 17,205.78 and 7,751.08 is: 10,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.14 : 17,205.78 = 7,751.08 : x
  2. Step 2: Convert to fraction form
    12,470.14/17,205.78 = 7,751.08/x
  3. Step 3: Cross multiply
    12,470.14x = 17,205.78 × 7,751.08
  4. Step 4: Simplify right side
    12,470.14x = 133,363,377.24
  5. Step 5: Solve for x
    x = 133,363,377.24/12,470.14
  6. Step 6: Final answer
    x = 10,694.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.