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Finding the Fourth Proportional to 20,417, 30,625.50 and 6,566

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Solution

The fourth proportional to 20,417, 30,625.50 and 6,566 is: 9,849

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,417 : 30,625.50 = 6,566 : x
  2. Step 2: Convert to fraction form
    20,417/30,625.50 = 6,566/x
  3. Step 3: Cross multiply
    20,417x = 30,625.50 × 6,566
  4. Step 4: Simplify right side
    20,417x = 201,087,033
  5. Step 5: Solve for x
    x = 201,087,033/20,417
  6. Step 6: Final answer
    x = 9,849

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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.