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Finding the Fourth Proportional to 12,209.46, 16,849.17 and 6,620.46

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Solution

The fourth proportional to 12,209.46, 16,849.17 and 6,620.46 is: 9,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.46 : 16,849.17 = 6,620.46 : x
  2. Step 2: Convert to fraction form
    12,209.46/16,849.17 = 6,620.46/x
  3. Step 3: Cross multiply
    12,209.46x = 16,849.17 × 6,620.46
  4. Step 4: Simplify right side
    12,209.46x = 111,549,256.02
  5. Step 5: Solve for x
    x = 111,549,256.02/12,209.46
  6. Step 6: Final answer
    x = 9,136.30

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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.