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Finding the Fourth Proportional to 12,206.60, 16,839.60 and 7,489.16

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Solution

The fourth proportional to 12,206.60, 16,839.60 and 7,489.16 is: 10,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.60 : 16,839.60 = 7,489.16 : x
  2. Step 2: Convert to fraction form
    12,206.60/16,839.60 = 7,489.16/x
  3. Step 3: Cross multiply
    12,206.60x = 16,839.60 × 7,489.16
  4. Step 4: Simplify right side
    12,206.60x = 126,114,458.74
  5. Step 5: Solve for x
    x = 126,114,458.74/12,206.60
  6. Step 6: Final answer
    x = 10,331.66

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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.