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Finding the Fourth Proportional to 19,819.69, 29,729.53 and 5,028.68

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Solution

The fourth proportional to 19,819.69, 29,729.53 and 5,028.68 is: 7,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.69 : 29,729.53 = 5,028.68 : x
  2. Step 2: Convert to fraction form
    19,819.69/29,729.53 = 5,028.68/x
  3. Step 3: Cross multiply
    19,819.69x = 29,729.53 × 5,028.68
  4. Step 4: Simplify right side
    19,819.69x = 149,500,373.53
  5. Step 5: Solve for x
    x = 149,500,373.53/19,819.69
  6. Step 6: Final answer
    x = 7,543.02

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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.