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Finding the Fourth Proportional to 10,959.65, 15,112.42 and 6,975.66

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Solution

The fourth proportional to 10,959.65, 15,112.42 and 6,975.66 is: 9,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.65 : 15,112.42 = 6,975.66 : x
  2. Step 2: Convert to fraction form
    10,959.65/15,112.42 = 6,975.66/x
  3. Step 3: Cross multiply
    10,959.65x = 15,112.42 × 6,975.66
  4. Step 4: Simplify right side
    10,959.65x = 105,419,103.70
  5. Step 5: Solve for x
    x = 105,419,103.70/10,959.65
  6. Step 6: Final answer
    x = 9,618.84

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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.