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Finding the Fourth Proportional to 20,179, 30,268.50 and 5,587

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Solution

The fourth proportional to 20,179, 30,268.50 and 5,587 is: 8,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179 : 30,268.50 = 5,587 : x
  2. Step 2: Convert to fraction form
    20,179/30,268.50 = 5,587/x
  3. Step 3: Cross multiply
    20,179x = 30,268.50 × 5,587
  4. Step 4: Simplify right side
    20,179x = 169,110,109.50
  5. Step 5: Solve for x
    x = 169,110,109.50/20,179
  6. Step 6: Final answer
    x = 8,380.50

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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.