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Finding the Fourth Proportional to 14,107.52, 19,468.38 and 7,819.88

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Solution

The fourth proportional to 14,107.52, 19,468.38 and 7,819.88 is: 10,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.52 : 19,468.38 = 7,819.88 : x
  2. Step 2: Convert to fraction form
    14,107.52/19,468.38 = 7,819.88/x
  3. Step 3: Cross multiply
    14,107.52x = 19,468.38 × 7,819.88
  4. Step 4: Simplify right side
    14,107.52x = 152,240,395.39
  5. Step 5: Solve for x
    x = 152,240,395.39/14,107.52
  6. Step 6: Final answer
    x = 10,791.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.