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Finding the Fourth Proportional to 11,180, 15,434.88 and 7,460.48

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Solution

The fourth proportional to 11,180, 15,434.88 and 7,460.48 is: 10,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180 : 15,434.88 = 7,460.48 : x
  2. Step 2: Convert to fraction form
    11,180/15,434.88 = 7,460.48/x
  3. Step 3: Cross multiply
    11,180x = 15,434.88 × 7,460.48
  4. Step 4: Simplify right side
    11,180x = 115,151,613.54
  5. Step 5: Solve for x
    x = 115,151,613.54/11,180
  6. Step 6: Final answer
    x = 10,299.79

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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.