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Finding the Fourth Proportional to 20,532.84, 30,799.21 and 4,950.47

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Solution

The fourth proportional to 20,532.84, 30,799.21 and 4,950.47 is: 7,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.84 : 30,799.21 = 4,950.47 : x
  2. Step 2: Convert to fraction form
    20,532.84/30,799.21 = 4,950.47/x
  3. Step 3: Cross multiply
    20,532.84x = 30,799.21 × 4,950.47
  4. Step 4: Simplify right side
    20,532.84x = 152,470,398.76
  5. Step 5: Solve for x
    x = 152,470,398.76/20,532.84
  6. Step 6: Final answer
    x = 7,425.68

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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.