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Finding the Fourth Proportional to 11,794.64, 16,276.64 and 6,489.78

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Solution

The fourth proportional to 11,794.64, 16,276.64 and 6,489.78 is: 8,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.64 : 16,276.64 = 6,489.78 : x
  2. Step 2: Convert to fraction form
    11,794.64/16,276.64 = 6,489.78/x
  3. Step 3: Cross multiply
    11,794.64x = 16,276.64 × 6,489.78
  4. Step 4: Simplify right side
    11,794.64x = 105,631,780.29
  5. Step 5: Solve for x
    x = 105,631,780.29/11,794.64
  6. Step 6: Final answer
    x = 8,955.92

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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.