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Finding the Fourth Proportional to 19,867.20, 29,822.40 and 11,119.20

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Solution

The fourth proportional to 19,867.20, 29,822.40 and 11,119.20 is: 16,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,867.20 : 29,822.40 = 11,119.20 : x
  2. Step 2: Convert to fraction form
    19,867.20/29,822.40 = 11,119.20/x
  3. Step 3: Cross multiply
    19,867.20x = 29,822.40 × 11,119.20
  4. Step 4: Simplify right side
    19,867.20x = 331,601,230.08
  5. Step 5: Solve for x
    x = 331,601,230.08/19,867.20
  6. Step 6: Final answer
    x = 16,690.89

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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.