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Finding the Fourth Proportional to 3,406, 4,700.28 and 2,008.75

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Solution

The fourth proportional to 3,406, 4,700.28 and 2,008.75 is: 2,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406 : 4,700.28 = 2,008.75 : x
  2. Step 2: Convert to fraction form
    3,406/4,700.28 = 2,008.75/x
  3. Step 3: Cross multiply
    3,406x = 4,700.28 × 2,008.75
  4. Step 4: Simplify right side
    3,406x = 9,441,687.45
  5. Step 5: Solve for x
    x = 9,441,687.45/3,406
  6. Step 6: Final answer
    x = 2,772.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.