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Finding the Fourth Proportional to 12,021.66, 18,008 and 9,808.38

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Solution

The fourth proportional to 12,021.66, 18,008 and 9,808.38 is: 14,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.66 : 18,008 = 9,808.38 : x
  2. Step 2: Convert to fraction form
    12,021.66/18,008 = 9,808.38/x
  3. Step 3: Cross multiply
    12,021.66x = 18,008 × 9,808.38
  4. Step 4: Simplify right side
    12,021.66x = 176,629,307.04
  5. Step 5: Solve for x
    x = 176,629,307.04/12,021.66
  6. Step 6: Final answer
    x = 14,692.59

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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.