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Finding the Fourth Proportional to 2,294.78, 3,440.62 and 833.74

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Solution

The fourth proportional to 2,294.78, 3,440.62 and 833.74 is: 1,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.78 : 3,440.62 = 833.74 : x
  2. Step 2: Convert to fraction form
    2,294.78/3,440.62 = 833.74/x
  3. Step 3: Cross multiply
    2,294.78x = 3,440.62 × 833.74
  4. Step 4: Simplify right side
    2,294.78x = 2,868,574.96
  5. Step 5: Solve for x
    x = 2,868,574.96/2,294.78
  6. Step 6: Final answer
    x = 1,250.05

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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.