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Finding the Fourth Proportional to 12,772.69, 19,160.11 and 3,538.69

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Solution

The fourth proportional to 12,772.69, 19,160.11 and 3,538.69 is: 5,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.69 : 19,160.11 = 3,538.69 : x
  2. Step 2: Convert to fraction form
    12,772.69/19,160.11 = 3,538.69/x
  3. Step 3: Cross multiply
    12,772.69x = 19,160.11 × 3,538.69
  4. Step 4: Simplify right side
    12,772.69x = 67,801,646.18
  5. Step 5: Solve for x
    x = 67,801,646.18/12,772.69
  6. Step 6: Final answer
    x = 5,308.33

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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.