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Finding the Fourth Proportional to 2,564.40, 3,847.08 and 833.04

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Solution

The fourth proportional to 2,564.40, 3,847.08 and 833.04 is: 1,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.40 : 3,847.08 = 833.04 : x
  2. Step 2: Convert to fraction form
    2,564.40/3,847.08 = 833.04/x
  3. Step 3: Cross multiply
    2,564.40x = 3,847.08 × 833.04
  4. Step 4: Simplify right side
    2,564.40x = 3,204,771.52
  5. Step 5: Solve for x
    x = 3,204,771.52/2,564.40
  6. Step 6: Final answer
    x = 1,249.72

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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.