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Finding the Fourth Proportional to 12,681.75, 19,022.69 and 3,447.75

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Solution

The fourth proportional to 12,681.75, 19,022.69 and 3,447.75 is: 5,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.75 : 19,022.69 = 3,447.75 : x
  2. Step 2: Convert to fraction form
    12,681.75/19,022.69 = 3,447.75/x
  3. Step 3: Cross multiply
    12,681.75x = 19,022.69 × 3,447.75
  4. Step 4: Simplify right side
    12,681.75x = 65,585,462.21
  5. Step 5: Solve for x
    x = 65,585,462.21/12,681.75
  6. Step 6: Final answer
    x = 5,171.64

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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.