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Finding the Fourth Proportional to 20,810.62, 31,219 and 6,017.62

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Solution

The fourth proportional to 20,810.62, 31,219 and 6,017.62 is: 9,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.62 : 31,219 = 6,017.62 : x
  2. Step 2: Convert to fraction form
    20,810.62/31,219 = 6,017.62/x
  3. Step 3: Cross multiply
    20,810.62x = 31,219 × 6,017.62
  4. Step 4: Simplify right side
    20,810.62x = 187,864,078.78
  5. Step 5: Solve for x
    x = 187,864,078.78/20,810.62
  6. Step 6: Final answer
    x = 9,027.32

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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.