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Finding the Fourth Proportional to 14,209.50, 19,609.11 and 7,922.28

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Solution

The fourth proportional to 14,209.50, 19,609.11 and 7,922.28 is: 10,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.50 : 19,609.11 = 7,922.28 : x
  2. Step 2: Convert to fraction form
    14,209.50/19,609.11 = 7,922.28/x
  3. Step 3: Cross multiply
    14,209.50x = 19,609.11 × 7,922.28
  4. Step 4: Simplify right side
    14,209.50x = 155,348,859.97
  5. Step 5: Solve for x
    x = 155,348,859.97/14,209.50
  6. Step 6: Final answer
    x = 10,932.75

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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.