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Finding the Fourth Proportional to 21,187.20, 31,771.20 and 8,035.20

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Solution

The fourth proportional to 21,187.20, 31,771.20 and 8,035.20 is: 12,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.20 : 31,771.20 = 8,035.20 : x
  2. Step 2: Convert to fraction form
    21,187.20/31,771.20 = 8,035.20/x
  3. Step 3: Cross multiply
    21,187.20x = 31,771.20 × 8,035.20
  4. Step 4: Simplify right side
    21,187.20x = 255,287,946.24
  5. Step 5: Solve for x
    x = 255,287,946.24/21,187.20
  6. Step 6: Final answer
    x = 12,049.16

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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.