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Finding the Fourth Proportional to 3,864.02, 5,796.98 and 1,785.47

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Solution

The fourth proportional to 3,864.02, 5,796.98 and 1,785.47 is: 2,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.02 : 5,796.98 = 1,785.47 : x
  2. Step 2: Convert to fraction form
    3,864.02/5,796.98 = 1,785.47/x
  3. Step 3: Cross multiply
    3,864.02x = 5,796.98 × 1,785.47
  4. Step 4: Simplify right side
    3,864.02x = 10,350,295.97
  5. Step 5: Solve for x
    x = 10,350,295.97/3,864.02
  6. Step 6: Final answer
    x = 2,678.64

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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.