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Finding the Fourth Proportional to 10,040.56, 15,046.26 and 7,124.56

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Solution

The fourth proportional to 10,040.56, 15,046.26 and 7,124.56 is: 10,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.56 : 15,046.26 = 7,124.56 : x
  2. Step 2: Convert to fraction form
    10,040.56/15,046.26 = 7,124.56/x
  3. Step 3: Cross multiply
    10,040.56x = 15,046.26 × 7,124.56
  4. Step 4: Simplify right side
    10,040.56x = 107,197,982.15
  5. Step 5: Solve for x
    x = 107,197,982.15/10,040.56
  6. Step 6: Final answer
    x = 10,676.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.