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Finding the Fourth Proportional to 28,019.78, 42,035.82 and 8,299.88

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Solution

The fourth proportional to 28,019.78, 42,035.82 and 8,299.88 is: 12,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,019.78 : 42,035.82 = 8,299.88 : x
  2. Step 2: Convert to fraction form
    28,019.78/42,035.82 = 8,299.88/x
  3. Step 3: Cross multiply
    28,019.78x = 42,035.82 × 8,299.88
  4. Step 4: Simplify right side
    28,019.78x = 348,892,261.70
  5. Step 5: Solve for x
    x = 348,892,261.70/28,019.78
  6. Step 6: Final answer
    x = 12,451.64

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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.