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Finding the Fourth Proportional to 18,139.99, 27,214.56 and 8,784.49

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Solution

The fourth proportional to 18,139.99, 27,214.56 and 8,784.49 is: 13,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,139.99 : 27,214.56 = 8,784.49 : x
  2. Step 2: Convert to fraction form
    18,139.99/27,214.56 = 8,784.49/x
  3. Step 3: Cross multiply
    18,139.99x = 27,214.56 × 8,784.49
  4. Step 4: Simplify right side
    18,139.99x = 239,066,030.17
  5. Step 5: Solve for x
    x = 239,066,030.17/18,139.99
  6. Step 6: Final answer
    x = 13,178.95

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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.