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Finding the Fourth Proportional to 9,236.50, 12,747.38 and 5,258.59

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Solution

The fourth proportional to 9,236.50, 12,747.38 and 5,258.59 is: 7,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.50 : 12,747.38 = 5,258.59 : x
  2. Step 2: Convert to fraction form
    9,236.50/12,747.38 = 5,258.59/x
  3. Step 3: Cross multiply
    9,236.50x = 12,747.38 × 5,258.59
  4. Step 4: Simplify right side
    9,236.50x = 67,033,186.83
  5. Step 5: Solve for x
    x = 67,033,186.83/9,236.50
  6. Step 6: Final answer
    x = 7,257.42

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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.