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Finding the Fourth Proportional to 8,235, 12,341.25 and 3,790.08

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Solution

The fourth proportional to 8,235, 12,341.25 and 3,790.08 is: 5,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235 : 12,341.25 = 3,790.08 : x
  2. Step 2: Convert to fraction form
    8,235/12,341.25 = 3,790.08/x
  3. Step 3: Cross multiply
    8,235x = 12,341.25 × 3,790.08
  4. Step 4: Simplify right side
    8,235x = 46,774,324.80
  5. Step 5: Solve for x
    x = 46,774,324.80/8,235
  6. Step 6: Final answer
    x = 5,679.94

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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.