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Finding the Fourth Proportional to 20,047.50, 30,071.25 and 6,196.50

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Solution

The fourth proportional to 20,047.50, 30,071.25 and 6,196.50 is: 9,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.50 : 30,071.25 = 6,196.50 : x
  2. Step 2: Convert to fraction form
    20,047.50/30,071.25 = 6,196.50/x
  3. Step 3: Cross multiply
    20,047.50x = 30,071.25 × 6,196.50
  4. Step 4: Simplify right side
    20,047.50x = 186,336,500.63
  5. Step 5: Solve for x
    x = 186,336,500.63/20,047.50
  6. Step 6: Final answer
    x = 9,294.75

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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.