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Finding the Fourth Proportional to 2,064.81, 3,098.22 and 833.11

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Solution

The fourth proportional to 2,064.81, 3,098.22 and 833.11 is: 1,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.81 : 3,098.22 = 833.11 : x
  2. Step 2: Convert to fraction form
    2,064.81/3,098.22 = 833.11/x
  3. Step 3: Cross multiply
    2,064.81x = 3,098.22 × 833.11
  4. Step 4: Simplify right side
    2,064.81x = 2,581,158.06
  5. Step 5: Solve for x
    x = 2,581,158.06/2,064.81
  6. Step 6: Final answer
    x = 1,250.07

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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.