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Finding the Fourth Proportional to 8,295, 12,443.22 and 2,139

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Solution

The fourth proportional to 8,295, 12,443.22 and 2,139 is: 3,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295 : 12,443.22 = 2,139 : x
  2. Step 2: Convert to fraction form
    8,295/12,443.22 = 2,139/x
  3. Step 3: Cross multiply
    8,295x = 12,443.22 × 2,139
  4. Step 4: Simplify right side
    8,295x = 26,616,047.58
  5. Step 5: Solve for x
    x = 26,616,047.58/8,295
  6. Step 6: Final answer
    x = 3,208.69

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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.