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Finding the Fourth Proportional to 12,159.01, 18,238.56 and 3,394

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Solution

The fourth proportional to 12,159.01, 18,238.56 and 3,394 is: 5,091.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.01 : 18,238.56 = 3,394 : x
  2. Step 2: Convert to fraction form
    12,159.01/18,238.56 = 3,394/x
  3. Step 3: Cross multiply
    12,159.01x = 18,238.56 × 3,394
  4. Step 4: Simplify right side
    12,159.01x = 61,901,672.64
  5. Step 5: Solve for x
    x = 61,901,672.64/12,159.01
  6. Step 6: Final answer
    x = 5,091.01

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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.