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Finding the Fourth Proportional to 21,171, 31,756.44 and 5,588.52

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Solution

The fourth proportional to 21,171, 31,756.44 and 5,588.52 is: 8,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,171 : 31,756.44 = 5,588.52 : x
  2. Step 2: Convert to fraction form
    21,171/31,756.44 = 5,588.52/x
  3. Step 3: Cross multiply
    21,171x = 31,756.44 × 5,588.52
  4. Step 4: Simplify right side
    21,171x = 177,471,500.07
  5. Step 5: Solve for x
    x = 177,471,500.07/21,171
  6. Step 6: Final answer
    x = 8,382.76

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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.