Home / 1,782.34-2,446.05-1,640.87

Finding the Fourth Proportional to 1,782.34, 2,446.05 and 1,640.87

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Solution

The fourth proportional to 1,782.34, 2,446.05 and 1,640.87 is: 2,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.34 : 2,446.05 = 1,640.87 : x
  2. Step 2: Convert to fraction form
    1,782.34/2,446.05 = 1,640.87/x
  3. Step 3: Cross multiply
    1,782.34x = 2,446.05 × 1,640.87
  4. Step 4: Simplify right side
    1,782.34x = 4,013,631.68
  5. Step 5: Solve for x
    x = 4,013,631.68/1,782.34
  6. Step 6: Final answer
    x = 2,251.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.