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Finding the Fourth Proportional to 18,829.50, 28,244.82 and 4,978.50

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Solution

The fourth proportional to 18,829.50, 28,244.82 and 4,978.50 is: 7,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829.50 : 28,244.82 = 4,978.50 : x
  2. Step 2: Convert to fraction form
    18,829.50/28,244.82 = 4,978.50/x
  3. Step 3: Cross multiply
    18,829.50x = 28,244.82 × 4,978.50
  4. Step 4: Simplify right side
    18,829.50x = 140,616,836.37
  5. Step 5: Solve for x
    x = 140,616,836.37/18,829.50
  6. Step 6: Final answer
    x = 7,467.90

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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.