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Finding the Fourth Proportional to 3,092.44, 4,267.58 and 1,695.32

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Solution

The fourth proportional to 3,092.44, 4,267.58 and 1,695.32 is: 2,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.44 : 4,267.58 = 1,695.32 : x
  2. Step 2: Convert to fraction form
    3,092.44/4,267.58 = 1,695.32/x
  3. Step 3: Cross multiply
    3,092.44x = 4,267.58 × 1,695.32
  4. Step 4: Simplify right side
    3,092.44x = 7,234,913.73
  5. Step 5: Solve for x
    x = 7,234,913.73/3,092.44
  6. Step 6: Final answer
    x = 2,339.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.