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Finding the Fourth Proportional to 1,980.87, 2,969.92 and 869.75

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Solution

The fourth proportional to 1,980.87, 2,969.92 and 869.75 is: 1,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.87 : 2,969.92 = 869.75 : x
  2. Step 2: Convert to fraction form
    1,980.87/2,969.92 = 869.75/x
  3. Step 3: Cross multiply
    1,980.87x = 2,969.92 × 869.75
  4. Step 4: Simplify right side
    1,980.87x = 2,583,087.92
  5. Step 5: Solve for x
    x = 2,583,087.92/1,980.87
  6. Step 6: Final answer
    x = 1,304.02

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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.