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Finding the Fourth Proportional to 18,221.68, 27,332.52 and 7,831

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Solution

The fourth proportional to 18,221.68, 27,332.52 and 7,831 is: 11,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,221.68 : 27,332.52 = 7,831 : x
  2. Step 2: Convert to fraction form
    18,221.68/27,332.52 = 7,831/x
  3. Step 3: Cross multiply
    18,221.68x = 27,332.52 × 7,831
  4. Step 4: Simplify right side
    18,221.68x = 214,040,964.12
  5. Step 5: Solve for x
    x = 214,040,964.12/18,221.68
  6. Step 6: Final answer
    x = 11,746.50

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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.