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Finding the Fourth Proportional to 2,588.11, 3,882.81 and 833.28

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Solution

The fourth proportional to 2,588.11, 3,882.81 and 833.28 is: 1,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.11 : 3,882.81 = 833.28 : x
  2. Step 2: Convert to fraction form
    2,588.11/3,882.81 = 833.28/x
  3. Step 3: Cross multiply
    2,588.11x = 3,882.81 × 833.28
  4. Step 4: Simplify right side
    2,588.11x = 3,235,444.34
  5. Step 5: Solve for x
    x = 3,235,444.34/2,588.11
  6. Step 6: Final answer
    x = 1,250.12

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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.