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Finding the Fourth Proportional to 12,209.94, 16,850.07 and 6,904.64

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Solution

The fourth proportional to 12,209.94, 16,850.07 and 6,904.64 is: 9,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.94 : 16,850.07 = 6,904.64 : x
  2. Step 2: Convert to fraction form
    12,209.94/16,850.07 = 6,904.64/x
  3. Step 3: Cross multiply
    12,209.94x = 16,850.07 × 6,904.64
  4. Step 4: Simplify right side
    12,209.94x = 116,343,709.45
  5. Step 5: Solve for x
    x = 116,343,709.45/12,209.94
  6. Step 6: Final answer
    x = 9,528.61

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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.