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Finding the Fourth Proportional to 11,119, 15,344.70 and 6,151

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Solution

The fourth proportional to 11,119, 15,344.70 and 6,151 is: 8,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,119 : 15,344.70 = 6,151 : x
  2. Step 2: Convert to fraction form
    11,119/15,344.70 = 6,151/x
  3. Step 3: Cross multiply
    11,119x = 15,344.70 × 6,151
  4. Step 4: Simplify right side
    11,119x = 94,385,249.70
  5. Step 5: Solve for x
    x = 94,385,249.70/11,119
  6. Step 6: Final answer
    x = 8,488.65

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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.