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Finding the Fourth Proportional to 21,269.61, 31,905.88 and 7,223.91

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Solution

The fourth proportional to 21,269.61, 31,905.88 and 7,223.91 is: 10,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269.61 : 31,905.88 = 7,223.91 : x
  2. Step 2: Convert to fraction form
    21,269.61/31,905.88 = 7,223.91/x
  3. Step 3: Cross multiply
    21,269.61x = 31,905.88 × 7,223.91
  4. Step 4: Simplify right side
    21,269.61x = 230,485,046.06
  5. Step 5: Solve for x
    x = 230,485,046.06/21,269.61
  6. Step 6: Final answer
    x = 10,836.36

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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.