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Finding the Fourth Proportional to 3,864.24, 5,795.74 and 1,397.78

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Solution

The fourth proportional to 3,864.24, 5,795.74 and 1,397.78 is: 2,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.24 : 5,795.74 = 1,397.78 : x
  2. Step 2: Convert to fraction form
    3,864.24/5,795.74 = 1,397.78/x
  3. Step 3: Cross multiply
    3,864.24x = 5,795.74 × 1,397.78
  4. Step 4: Simplify right side
    3,864.24x = 8,101,169.46
  5. Step 5: Solve for x
    x = 8,101,169.46/3,864.24
  6. Step 6: Final answer
    x = 2,096.45

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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.