Home / 1,641.37-2,264.23-977.75

Finding the Fourth Proportional to 1,641.37, 2,264.23 and 977.75

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Solution

The fourth proportional to 1,641.37, 2,264.23 and 977.75 is: 1,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.37 : 2,264.23 = 977.75 : x
  2. Step 2: Convert to fraction form
    1,641.37/2,264.23 = 977.75/x
  3. Step 3: Cross multiply
    1,641.37x = 2,264.23 × 977.75
  4. Step 4: Simplify right side
    1,641.37x = 2,213,850.88
  5. Step 5: Solve for x
    x = 2,213,850.88/1,641.37
  6. Step 6: Final answer
    x = 1,348.78

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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.