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Finding the Fourth Proportional to 12,159.81, 18,206.82 and 6,304.11

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Solution

The fourth proportional to 12,159.81, 18,206.82 and 6,304.11 is: 9,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.81 : 18,206.82 = 6,304.11 : x
  2. Step 2: Convert to fraction form
    12,159.81/18,206.82 = 6,304.11/x
  3. Step 3: Cross multiply
    12,159.81x = 18,206.82 × 6,304.11
  4. Step 4: Simplify right side
    12,159.81x = 114,777,796.03
  5. Step 5: Solve for x
    x = 114,777,796.03/12,159.81
  6. Step 6: Final answer
    x = 9,439.11

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1.5x scale

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.