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Finding the Fourth Proportional to 21,671.25, 32,506.88 and 5,255.25

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Solution

The fourth proportional to 21,671.25, 32,506.88 and 5,255.25 is: 7,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.25 : 32,506.88 = 5,255.25 : x
  2. Step 2: Convert to fraction form
    21,671.25/32,506.88 = 5,255.25/x
  3. Step 3: Cross multiply
    21,671.25x = 32,506.88 × 5,255.25
  4. Step 4: Simplify right side
    21,671.25x = 170,831,754.84
  5. Step 5: Solve for x
    x = 170,831,754.84/21,671.25
  6. Step 6: Final answer
    x = 7,882.88

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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.