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Finding the Fourth Proportional to 20,800.24, 31,194.74 and 9,696.08

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Solution

The fourth proportional to 20,800.24, 31,194.74 and 9,696.08 is: 14,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.24 : 31,194.74 = 9,696.08 : x
  2. Step 2: Convert to fraction form
    20,800.24/31,194.74 = 9,696.08/x
  3. Step 3: Cross multiply
    20,800.24x = 31,194.74 × 9,696.08
  4. Step 4: Simplify right side
    20,800.24x = 302,466,694.62
  5. Step 5: Solve for x
    x = 302,466,694.62/20,800.24
  6. Step 6: Final answer
    x = 14,541.50

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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.