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Finding the Fourth Proportional to 21,915.93, 32,855.46 and 8,761.14

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Solution

The fourth proportional to 21,915.93, 32,855.46 and 8,761.14 is: 13,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,915.93 : 32,855.46 = 8,761.14 : x
  2. Step 2: Convert to fraction form
    21,915.93/32,855.46 = 8,761.14/x
  3. Step 3: Cross multiply
    21,915.93x = 32,855.46 × 8,761.14
  4. Step 4: Simplify right side
    21,915.93x = 287,851,284.82
  5. Step 5: Solve for x
    x = 287,851,284.82/21,915.93
  6. Step 6: Final answer
    x = 13,134.34

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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.