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Finding the Fourth Proportional to 12,005.76, 18,012 and 3,686.40

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Solution

The fourth proportional to 12,005.76, 18,012 and 3,686.40 is: 5,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.76 : 18,012 = 3,686.40 : x
  2. Step 2: Convert to fraction form
    12,005.76/18,012 = 3,686.40/x
  3. Step 3: Cross multiply
    12,005.76x = 18,012 × 3,686.40
  4. Step 4: Simplify right side
    12,005.76x = 66,399,436.80
  5. Step 5: Solve for x
    x = 66,399,436.80/12,005.76
  6. Step 6: Final answer
    x = 5,530.63

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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.