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Finding the Fourth Proportional to 18,642.99, 27,964.50 and 12,781.83

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Solution

The fourth proportional to 18,642.99, 27,964.50 and 12,781.83 is: 19,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.99 : 27,964.50 = 12,781.83 : x
  2. Step 2: Convert to fraction form
    18,642.99/27,964.50 = 12,781.83/x
  3. Step 3: Cross multiply
    18,642.99x = 27,964.50 × 12,781.83
  4. Step 4: Simplify right side
    18,642.99x = 357,437,485.04
  5. Step 5: Solve for x
    x = 357,437,485.04/18,642.99
  6. Step 6: Final answer
    x = 19,172.76

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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.