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Finding the Fourth Proportional to 19,891.78, 29,850.65 and 7,421.78

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Solution

The fourth proportional to 19,891.78, 29,850.65 and 7,421.78 is: 11,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.78 : 29,850.65 = 7,421.78 : x
  2. Step 2: Convert to fraction form
    19,891.78/29,850.65 = 7,421.78/x
  3. Step 3: Cross multiply
    19,891.78x = 29,850.65 × 7,421.78
  4. Step 4: Simplify right side
    19,891.78x = 221,544,826.46
  5. Step 5: Solve for x
    x = 221,544,826.46/19,891.78
  6. Step 6: Final answer
    x = 11,137.51

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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.