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Finding the Fourth Proportional to 4,646.34, 6,964.62 and 2,179.20

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Solution

The fourth proportional to 4,646.34, 6,964.62 and 2,179.20 is: 3,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.34 : 6,964.62 = 2,179.20 : x
  2. Step 2: Convert to fraction form
    4,646.34/6,964.62 = 2,179.20/x
  3. Step 3: Cross multiply
    4,646.34x = 6,964.62 × 2,179.20
  4. Step 4: Simplify right side
    4,646.34x = 15,177,299.90
  5. Step 5: Solve for x
    x = 15,177,299.90/4,646.34
  6. Step 6: Final answer
    x = 3,266.51

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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.