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Finding the Fourth Proportional to 3,439.82, 4,746.82 and 1,867.88

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Solution

The fourth proportional to 3,439.82, 4,746.82 and 1,867.88 is: 2,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.82 : 4,746.82 = 1,867.88 : x
  2. Step 2: Convert to fraction form
    3,439.82/4,746.82 = 1,867.88/x
  3. Step 3: Cross multiply
    3,439.82x = 4,746.82 × 1,867.88
  4. Step 4: Simplify right side
    3,439.82x = 8,866,490.14
  5. Step 5: Solve for x
    x = 8,866,490.14/3,439.82
  6. Step 6: Final answer
    x = 2,577.60

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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.