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Finding the Fourth Proportional to 20,191, 30,287.72 and 6,340

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Solution

The fourth proportional to 20,191, 30,287.72 and 6,340 is: 9,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191 : 30,287.72 = 6,340 : x
  2. Step 2: Convert to fraction form
    20,191/30,287.72 = 6,340/x
  3. Step 3: Cross multiply
    20,191x = 30,287.72 × 6,340
  4. Step 4: Simplify right side
    20,191x = 192,024,113.10
  5. Step 5: Solve for x
    x = 192,024,113.10/20,191
  6. Step 6: Final answer
    x = 9,510.38

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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.