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Finding the Fourth Proportional to 15,909.80, 21,958.80 and 9,194.48

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Solution

The fourth proportional to 15,909.80, 21,958.80 and 9,194.48 is: 12,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.80 : 21,958.80 = 9,194.48 : x
  2. Step 2: Convert to fraction form
    15,909.80/21,958.80 = 9,194.48/x
  3. Step 3: Cross multiply
    15,909.80x = 21,958.80 × 9,194.48
  4. Step 4: Simplify right side
    15,909.80x = 201,899,747.42
  5. Step 5: Solve for x
    x = 201,899,747.42/15,909.80
  6. Step 6: Final answer
    x = 12,690.28

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1.5x scale

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.