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Finding the Fourth Proportional to 12,205.69, 16,844.69 and 6,900.53

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Solution

The fourth proportional to 12,205.69, 16,844.69 and 6,900.53 is: 9,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.69 : 16,844.69 = 6,900.53 : x
  2. Step 2: Convert to fraction form
    12,205.69/16,844.69 = 6,900.53/x
  3. Step 3: Cross multiply
    12,205.69x = 16,844.69 × 6,900.53
  4. Step 4: Simplify right side
    12,205.69x = 116,237,221.71
  5. Step 5: Solve for x
    x = 116,237,221.71/12,205.69
  6. Step 6: Final answer
    x = 9,523.20

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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.