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Finding the Fourth Proportional to 22,702.88, 34,069.80 and 7,911.80

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Solution

The fourth proportional to 22,702.88, 34,069.80 and 7,911.80 is: 11,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.88 : 34,069.80 = 7,911.80 : x
  2. Step 2: Convert to fraction form
    22,702.88/34,069.80 = 7,911.80/x
  3. Step 3: Cross multiply
    22,702.88x = 34,069.80 × 7,911.80
  4. Step 4: Simplify right side
    22,702.88x = 269,553,443.64
  5. Step 5: Solve for x
    x = 269,553,443.64/22,702.88
  6. Step 6: Final answer
    x = 11,873.09

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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.