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Finding the Fourth Proportional to 11,108, 15,329.20 and 6,140

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Solution

The fourth proportional to 11,108, 15,329.20 and 6,140 is: 8,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,108 : 15,329.20 = 6,140 : x
  2. Step 2: Convert to fraction form
    11,108/15,329.20 = 6,140/x
  3. Step 3: Cross multiply
    11,108x = 15,329.20 × 6,140
  4. Step 4: Simplify right side
    11,108x = 94,121,288
  5. Step 5: Solve for x
    x = 94,121,288/11,108
  6. Step 6: Final answer
    x = 8,473.29

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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.