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Finding the Fourth Proportional to 4,666, 6,999 and 3,200.72

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Solution

The fourth proportional to 4,666, 6,999 and 3,200.72 is: 4,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666 : 6,999 = 3,200.72 : x
  2. Step 2: Convert to fraction form
    4,666/6,999 = 3,200.72/x
  3. Step 3: Cross multiply
    4,666x = 6,999 × 3,200.72
  4. Step 4: Simplify right side
    4,666x = 22,401,839.28
  5. Step 5: Solve for x
    x = 22,401,839.28/4,666
  6. Step 6: Final answer
    x = 4,801.08

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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.