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Finding the Fourth Proportional to 8,139, 12,208.56 and 1,983

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Solution

The fourth proportional to 8,139, 12,208.56 and 1,983 is: 2,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139 : 12,208.56 = 1,983 : x
  2. Step 2: Convert to fraction form
    8,139/12,208.56 = 1,983/x
  3. Step 3: Cross multiply
    8,139x = 12,208.56 × 1,983
  4. Step 4: Simplify right side
    8,139x = 24,209,574.48
  5. Step 5: Solve for x
    x = 24,209,574.48/8,139
  6. Step 6: Final answer
    x = 2,974.51

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Double scale
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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.