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Finding the Fourth Proportional to 10,906.65, 15,058.31 and 8,384.11

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Solution

The fourth proportional to 10,906.65, 15,058.31 and 8,384.11 is: 11,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.65 : 15,058.31 = 8,384.11 : x
  2. Step 2: Convert to fraction form
    10,906.65/15,058.31 = 8,384.11/x
  3. Step 3: Cross multiply
    10,906.65x = 15,058.31 × 8,384.11
  4. Step 4: Simplify right side
    10,906.65x = 126,250,447.89
  5. Step 5: Solve for x
    x = 126,250,447.89/10,906.65
  6. Step 6: Final answer
    x = 11,575.55

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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.