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Finding the Fourth Proportional to 21,264.67, 31,894.71 and 6,473.71

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Solution

The fourth proportional to 21,264.67, 31,894.71 and 6,473.71 is: 9,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.67 : 31,894.71 = 6,473.71 : x
  2. Step 2: Convert to fraction form
    21,264.67/31,894.71 = 6,473.71/x
  3. Step 3: Cross multiply
    21,264.67x = 31,894.71 × 6,473.71
  4. Step 4: Simplify right side
    21,264.67x = 206,476,943.60
  5. Step 5: Solve for x
    x = 206,476,943.60/21,264.67
  6. Step 6: Final answer
    x = 9,709.86

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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.