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Finding the Fourth Proportional to 10,908.76, 15,053.94 and 6,193

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Solution

The fourth proportional to 10,908.76, 15,053.94 and 6,193 is: 8,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.76 : 15,053.94 = 6,193 : x
  2. Step 2: Convert to fraction form
    10,908.76/15,053.94 = 6,193/x
  3. Step 3: Cross multiply
    10,908.76x = 15,053.94 × 6,193
  4. Step 4: Simplify right side
    10,908.76x = 93,229,050.42
  5. Step 5: Solve for x
    x = 93,229,050.42/10,908.76
  6. Step 6: Final answer
    x = 8,546.26

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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.