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Finding the Fourth Proportional to 19,507.28, 26,909.16 and 12,794

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Solution

The fourth proportional to 19,507.28, 26,909.16 and 12,794 is: 17,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.28 : 26,909.16 = 12,794 : x
  2. Step 2: Convert to fraction form
    19,507.28/26,909.16 = 12,794/x
  3. Step 3: Cross multiply
    19,507.28x = 26,909.16 × 12,794
  4. Step 4: Simplify right side
    19,507.28x = 344,275,793.04
  5. Step 5: Solve for x
    x = 344,275,793.04/19,507.28
  6. Step 6: Final answer
    x = 17,648.58

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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.