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Finding the Fourth Proportional to 2,270.86, 3,400.81 and 1,294.00

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Solution

The fourth proportional to 2,270.86, 3,400.81 and 1,294.00 is: 1,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.86 : 3,400.81 = 1,294.00 : x
  2. Step 2: Convert to fraction form
    2,270.86/3,400.81 = 1,294.00/x
  3. Step 3: Cross multiply
    2,270.86x = 3,400.81 × 1,294.00
  4. Step 4: Simplify right side
    2,270.86x = 4,400,636.40
  5. Step 5: Solve for x
    x = 4,400,636.40/2,270.86
  6. Step 6: Final answer
    x = 1,937.87

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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.