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Finding the Fourth Proportional to 12,236.64, 16,894.08 and 7,766.88

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Solution

The fourth proportional to 12,236.64, 16,894.08 and 7,766.88 is: 10,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.64 : 16,894.08 = 7,766.88 : x
  2. Step 2: Convert to fraction form
    12,236.64/16,894.08 = 7,766.88/x
  3. Step 3: Cross multiply
    12,236.64x = 16,894.08 × 7,766.88
  4. Step 4: Simplify right side
    12,236.64x = 131,214,292.07
  5. Step 5: Solve for x
    x = 131,214,292.07/12,236.64
  6. Step 6: Final answer
    x = 10,723.07

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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.