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Finding the Fourth Proportional to 12,709.70, 19,067.10 and 4,390.02

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Solution

The fourth proportional to 12,709.70, 19,067.10 and 4,390.02 is: 6,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.70 : 19,067.10 = 4,390.02 : x
  2. Step 2: Convert to fraction form
    12,709.70/19,067.10 = 4,390.02/x
  3. Step 3: Cross multiply
    12,709.70x = 19,067.10 × 4,390.02
  4. Step 4: Simplify right side
    12,709.70x = 83,704,928.39
  5. Step 5: Solve for x
    x = 83,704,928.39/12,709.70
  6. Step 6: Final answer
    x = 6,585.91

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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.