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Finding the Fourth Proportional to 12,010, 18,017.88 and 3,802

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Solution

The fourth proportional to 12,010, 18,017.88 and 3,802 is: 5,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010 : 18,017.88 = 3,802 : x
  2. Step 2: Convert to fraction form
    12,010/18,017.88 = 3,802/x
  3. Step 3: Cross multiply
    12,010x = 18,017.88 × 3,802
  4. Step 4: Simplify right side
    12,010x = 68,503,979.76
  5. Step 5: Solve for x
    x = 68,503,979.76/12,010
  6. Step 6: Final answer
    x = 5,703.91

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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.