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Finding the Fourth Proportional to 3,461.36, 5,192 and 864.32

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Solution

The fourth proportional to 3,461.36, 5,192 and 864.32 is: 1,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.36 : 5,192 = 864.32 : x
  2. Step 2: Convert to fraction form
    3,461.36/5,192 = 864.32/x
  3. Step 3: Cross multiply
    3,461.36x = 5,192 × 864.32
  4. Step 4: Simplify right side
    3,461.36x = 4,487,549.44
  5. Step 5: Solve for x
    x = 4,487,549.44/3,461.36
  6. Step 6: Final answer
    x = 1,296.47

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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.