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Finding the Fourth Proportional to 18,643.82, 27,974.76 and 9,284.66

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Solution

The fourth proportional to 18,643.82, 27,974.76 and 9,284.66 is: 13,931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643.82 : 27,974.76 = 9,284.66 : x
  2. Step 2: Convert to fraction form
    18,643.82/27,974.76 = 9,284.66/x
  3. Step 3: Cross multiply
    18,643.82x = 27,974.76 × 9,284.66
  4. Step 4: Simplify right side
    18,643.82x = 259,736,135.18
  5. Step 5: Solve for x
    x = 259,736,135.18/18,643.82
  6. Step 6: Final answer
    x = 13,931.49

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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.