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Finding the Fourth Proportional to 20,197.84, 30,300.12 and 6,346

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Solution

The fourth proportional to 20,197.84, 30,300.12 and 6,346 is: 9,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.84 : 30,300.12 = 6,346 : x
  2. Step 2: Convert to fraction form
    20,197.84/30,300.12 = 6,346/x
  3. Step 3: Cross multiply
    20,197.84x = 30,300.12 × 6,346
  4. Step 4: Simplify right side
    20,197.84x = 192,284,561.52
  5. Step 5: Solve for x
    x = 192,284,561.52/20,197.84
  6. Step 6: Final answer
    x = 9,520.06

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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.