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Finding the Fourth Proportional to 19,891.20, 29,848.43 and 7,419.81

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Solution

The fourth proportional to 19,891.20, 29,848.43 and 7,419.81 is: 11,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.20 : 29,848.43 = 7,419.81 : x
  2. Step 2: Convert to fraction form
    19,891.20/29,848.43 = 7,419.81/x
  3. Step 3: Cross multiply
    19,891.20x = 29,848.43 × 7,419.81
  4. Step 4: Simplify right side
    19,891.20x = 221,469,642.30
  5. Step 5: Solve for x
    x = 221,469,642.30/19,891.20
  6. Step 6: Final answer
    x = 11,134.05

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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.