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Finding the Fourth Proportional to 5,848.98, 8,071.28 and 3,195.87

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Solution

The fourth proportional to 5,848.98, 8,071.28 and 3,195.87 is: 4,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.98 : 8,071.28 = 3,195.87 : x
  2. Step 2: Convert to fraction form
    5,848.98/8,071.28 = 3,195.87/x
  3. Step 3: Cross multiply
    5,848.98x = 8,071.28 × 3,195.87
  4. Step 4: Simplify right side
    5,848.98x = 25,794,727.35
  5. Step 5: Solve for x
    x = 25,794,727.35/5,848.98
  6. Step 6: Final answer
    x = 4,410.13

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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.