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Finding the Fourth Proportional to 10,980.09, 15,151.35 and 8,110.34

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Solution

The fourth proportional to 10,980.09, 15,151.35 and 8,110.34 is: 11,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.09 : 15,151.35 = 8,110.34 : x
  2. Step 2: Convert to fraction form
    10,980.09/15,151.35 = 8,110.34/x
  3. Step 3: Cross multiply
    10,980.09x = 15,151.35 × 8,110.34
  4. Step 4: Simplify right side
    10,980.09x = 122,882,524.20
  5. Step 5: Solve for x
    x = 122,882,524.20/10,980.09
  6. Step 6: Final answer
    x = 11,191.39

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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.