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Finding the Fourth Proportional to 18,496.08, 27,731.16 and 6,807.78

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Solution

The fourth proportional to 18,496.08, 27,731.16 and 6,807.78 is: 10,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.08 : 27,731.16 = 6,807.78 : x
  2. Step 2: Convert to fraction form
    18,496.08/27,731.16 = 6,807.78/x
  3. Step 3: Cross multiply
    18,496.08x = 27,731.16 × 6,807.78
  4. Step 4: Simplify right side
    18,496.08x = 188,787,636.42
  5. Step 5: Solve for x
    x = 188,787,636.42/18,496.08
  6. Step 6: Final answer
    x = 10,206.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.