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Finding the Fourth Proportional to 20,065.50, 30,098.25 and 6,214.50

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Solution

The fourth proportional to 20,065.50, 30,098.25 and 6,214.50 is: 9,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,065.50 : 30,098.25 = 6,214.50 : x
  2. Step 2: Convert to fraction form
    20,065.50/30,098.25 = 6,214.50/x
  3. Step 3: Cross multiply
    20,065.50x = 30,098.25 × 6,214.50
  4. Step 4: Simplify right side
    20,065.50x = 187,045,574.63
  5. Step 5: Solve for x
    x = 187,045,574.63/20,065.50
  6. Step 6: Final answer
    x = 9,321.75

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1.5x scale

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.