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Finding the Fourth Proportional to 8,235, 12,352.50 and 2,391.66

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Solution

The fourth proportional to 8,235, 12,352.50 and 2,391.66 is: 3,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235 : 12,352.50 = 2,391.66 : x
  2. Step 2: Convert to fraction form
    8,235/12,352.50 = 2,391.66/x
  3. Step 3: Cross multiply
    8,235x = 12,352.50 × 2,391.66
  4. Step 4: Simplify right side
    8,235x = 29,542,980.15
  5. Step 5: Solve for x
    x = 29,542,980.15/8,235
  6. Step 6: Final answer
    x = 3,587.49

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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.