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Finding the Fourth Proportional to 2,560.94, 3,839.70 and 894.68

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Solution

The fourth proportional to 2,560.94, 3,839.70 and 894.68 is: 1,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.94 : 3,839.70 = 894.68 : x
  2. Step 2: Convert to fraction form
    2,560.94/3,839.70 = 894.68/x
  3. Step 3: Cross multiply
    2,560.94x = 3,839.70 × 894.68
  4. Step 4: Simplify right side
    2,560.94x = 3,435,302.80
  5. Step 5: Solve for x
    x = 3,435,302.80/2,560.94
  6. Step 6: Final answer
    x = 1,341.42

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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.