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Finding the Fourth Proportional to 3,122.60, 4,687.42 and 1,969

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Solution

The fourth proportional to 3,122.60, 4,687.42 and 1,969 is: 2,955.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.60 : 4,687.42 = 1,969 : x
  2. Step 2: Convert to fraction form
    3,122.60/4,687.42 = 1,969/x
  3. Step 3: Cross multiply
    3,122.60x = 4,687.42 × 1,969
  4. Step 4: Simplify right side
    3,122.60x = 9,229,529.98
  5. Step 5: Solve for x
    x = 9,229,529.98/3,122.60
  6. Step 6: Final answer
    x = 2,955.72

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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.