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Finding the Fourth Proportional to 5,763.77, 8,640.34 and 2,256.17

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Solution

The fourth proportional to 5,763.77, 8,640.34 and 2,256.17 is: 3,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.77 : 8,640.34 = 2,256.17 : x
  2. Step 2: Convert to fraction form
    5,763.77/8,640.34 = 2,256.17/x
  3. Step 3: Cross multiply
    5,763.77x = 8,640.34 × 2,256.17
  4. Step 4: Simplify right side
    5,763.77x = 19,494,049.60
  5. Step 5: Solve for x
    x = 19,494,049.60/5,763.77
  6. Step 6: Final answer
    x = 3,382.17

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1.5x scale

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.