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Finding the Fourth Proportional to 4,141.84, 5,715.84 and 2,278.88

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Solution

The fourth proportional to 4,141.84, 5,715.84 and 2,278.88 is: 3,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.84 : 5,715.84 = 2,278.88 : x
  2. Step 2: Convert to fraction form
    4,141.84/5,715.84 = 2,278.88/x
  3. Step 3: Cross multiply
    4,141.84x = 5,715.84 × 2,278.88
  4. Step 4: Simplify right side
    4,141.84x = 13,025,713.46
  5. Step 5: Solve for x
    x = 13,025,713.46/4,141.84
  6. Step 6: Final answer
    x = 3,144.91

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1.5x scale

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.