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Finding the Fourth Proportional to 2,107.81, 3,159.92 and 874.45

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Solution

The fourth proportional to 2,107.81, 3,159.92 and 874.45 is: 1,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.81 : 3,159.92 = 874.45 : x
  2. Step 2: Convert to fraction form
    2,107.81/3,159.92 = 874.45/x
  3. Step 3: Cross multiply
    2,107.81x = 3,159.92 × 874.45
  4. Step 4: Simplify right side
    2,107.81x = 2,763,178.43
  5. Step 5: Solve for x
    x = 2,763,178.43/2,107.81
  6. Step 6: Final answer
    x = 1,310.93

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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.