Home / 1,763.75-2,433.75-977.78

Finding the Fourth Proportional to 1,763.75, 2,433.75 and 977.78

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Solution

The fourth proportional to 1,763.75, 2,433.75 and 977.78 is: 1,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.75 : 2,433.75 = 977.78 : x
  2. Step 2: Convert to fraction form
    1,763.75/2,433.75 = 977.78/x
  3. Step 3: Cross multiply
    1,763.75x = 2,433.75 × 977.78
  4. Step 4: Simplify right side
    1,763.75x = 2,379,672.08
  5. Step 5: Solve for x
    x = 2,379,672.08/1,763.75
  6. Step 6: Final answer
    x = 1,349.21

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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.