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Finding the Fourth Proportional to 21,960, 32,946.23 and 8,821.60

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Solution

The fourth proportional to 21,960, 32,946.23 and 8,821.60 is: 13,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,960 : 32,946.23 = 8,821.60 : x
  2. Step 2: Convert to fraction form
    21,960/32,946.23 = 8,821.60/x
  3. Step 3: Cross multiply
    21,960x = 32,946.23 × 8,821.60
  4. Step 4: Simplify right side
    21,960x = 290,638,462.57
  5. Step 5: Solve for x
    x = 290,638,462.57/21,960
  6. Step 6: Final answer
    x = 13,234.90

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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.