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Finding the Fourth Proportional to 12,711.81, 19,067.72 and 3,477.81

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Solution

The fourth proportional to 12,711.81, 19,067.72 and 3,477.81 is: 5,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.81 : 19,067.72 = 3,477.81 : x
  2. Step 2: Convert to fraction form
    12,711.81/19,067.72 = 3,477.81/x
  3. Step 3: Cross multiply
    12,711.81x = 19,067.72 × 3,477.81
  4. Step 4: Simplify right side
    12,711.81x = 66,313,907.29
  5. Step 5: Solve for x
    x = 66,313,907.29/12,711.81
  6. Step 6: Final answer
    x = 5,216.72

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1.5x scale

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.