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Finding the Fourth Proportional to 2,588.76, 3,883.54 and 857.78

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Solution

The fourth proportional to 2,588.76, 3,883.54 and 857.78 is: 1,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.76 : 3,883.54 = 857.78 : x
  2. Step 2: Convert to fraction form
    2,588.76/3,883.54 = 857.78/x
  3. Step 3: Cross multiply
    2,588.76x = 3,883.54 × 857.78
  4. Step 4: Simplify right side
    2,588.76x = 3,331,222.94
  5. Step 5: Solve for x
    x = 3,331,222.94/2,588.76
  6. Step 6: Final answer
    x = 1,286.80

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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.