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Finding the Fourth Proportional to 3,804.64, 5,697.65 and 3,142.47

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Solution

The fourth proportional to 3,804.64, 5,697.65 and 3,142.47 is: 4,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.64 : 5,697.65 = 3,142.47 : x
  2. Step 2: Convert to fraction form
    3,804.64/5,697.65 = 3,142.47/x
  3. Step 3: Cross multiply
    3,804.64x = 5,697.65 × 3,142.47
  4. Step 4: Simplify right side
    3,804.64x = 17,904,694.20
  5. Step 5: Solve for x
    x = 17,904,694.20/3,804.64
  6. Step 6: Final answer
    x = 4,706.02

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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.