Home / 1,763.08-2,432.97-977.11

Finding the Fourth Proportional to 1,763.08, 2,432.97 and 977.11

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Solution

The fourth proportional to 1,763.08, 2,432.97 and 977.11 is: 1,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.08 : 2,432.97 = 977.11 : x
  2. Step 2: Convert to fraction form
    1,763.08/2,432.97 = 977.11/x
  3. Step 3: Cross multiply
    1,763.08x = 2,432.97 × 977.11
  4. Step 4: Simplify right side
    1,763.08x = 2,377,273.23
  5. Step 5: Solve for x
    x = 2,377,273.23/1,763.08
  6. Step 6: Final answer
    x = 1,348.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.