Home / 1,318.90-1,983.15-1,107.70

Finding the Fourth Proportional to 1,318.90, 1,983.15 and 1,107.70

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Solution

The fourth proportional to 1,318.90, 1,983.15 and 1,107.70 is: 1,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.90 : 1,983.15 = 1,107.70 : x
  2. Step 2: Convert to fraction form
    1,318.90/1,983.15 = 1,107.70/x
  3. Step 3: Cross multiply
    1,318.90x = 1,983.15 × 1,107.70
  4. Step 4: Simplify right side
    1,318.90x = 2,196,735.26
  5. Step 5: Solve for x
    x = 2,196,735.26/1,318.90
  6. Step 6: Final answer
    x = 1,665.58

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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.