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Finding the Fourth Proportional to 20,799.28, 31,200.90 and 7,651.90

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Solution

The fourth proportional to 20,799.28, 31,200.90 and 7,651.90 is: 11,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,799.28 : 31,200.90 = 7,651.90 : x
  2. Step 2: Convert to fraction form
    20,799.28/31,200.90 = 7,651.90/x
  3. Step 3: Cross multiply
    20,799.28x = 31,200.90 × 7,651.90
  4. Step 4: Simplify right side
    20,799.28x = 238,746,166.71
  5. Step 5: Solve for x
    x = 238,746,166.71/20,799.28
  6. Step 6: Final answer
    x = 11,478.58

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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.