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Finding the Fourth Proportional to 11,080, 15,290.40 and 6,112

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Solution

The fourth proportional to 11,080, 15,290.40 and 6,112 is: 8,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,080 : 15,290.40 = 6,112 : x
  2. Step 2: Convert to fraction form
    11,080/15,290.40 = 6,112/x
  3. Step 3: Cross multiply
    11,080x = 15,290.40 × 6,112
  4. Step 4: Simplify right side
    11,080x = 93,454,924.80
  5. Step 5: Solve for x
    x = 93,454,924.80/11,080
  6. Step 6: Final answer
    x = 8,434.56

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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.