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Finding the Fourth Proportional to 23,040.72, 34,560 and 7,245.36

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Solution

The fourth proportional to 23,040.72, 34,560 and 7,245.36 is: 10,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,040.72 : 34,560 = 7,245.36 : x
  2. Step 2: Convert to fraction form
    23,040.72/34,560 = 7,245.36/x
  3. Step 3: Cross multiply
    23,040.72x = 34,560 × 7,245.36
  4. Step 4: Simplify right side
    23,040.72x = 250,399,641.60
  5. Step 5: Solve for x
    x = 250,399,641.60/23,040.72
  6. Step 6: Final answer
    x = 10,867.70

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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.