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Finding the Fourth Proportional to 8,137, 12,206.10 and 5,959.48

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Solution

The fourth proportional to 8,137, 12,206.10 and 5,959.48 is: 8,939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137 : 12,206.10 = 5,959.48 : x
  2. Step 2: Convert to fraction form
    8,137/12,206.10 = 5,959.48/x
  3. Step 3: Cross multiply
    8,137x = 12,206.10 × 5,959.48
  4. Step 4: Simplify right side
    8,137x = 72,742,008.83
  5. Step 5: Solve for x
    x = 72,742,008.83/8,137
  6. Step 6: Final answer
    x = 8,939.66

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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.