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Finding the Fourth Proportional to 20,809.70, 31,218.60 and 6,019.10

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Solution

The fourth proportional to 20,809.70, 31,218.60 and 6,019.10 is: 9,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.70 : 31,218.60 = 6,019.10 : x
  2. Step 2: Convert to fraction form
    20,809.70/31,218.60 = 6,019.10/x
  3. Step 3: Cross multiply
    20,809.70x = 31,218.60 × 6,019.10
  4. Step 4: Simplify right side
    20,809.70x = 187,907,875.26
  5. Step 5: Solve for x
    x = 187,907,875.26/20,809.70
  6. Step 6: Final answer
    x = 9,029.82

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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.