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Finding the Fourth Proportional to 5,848.91, 8,071.73 and 3,196.43

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Solution

The fourth proportional to 5,848.91, 8,071.73 and 3,196.43 is: 4,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.91 : 8,071.73 = 3,196.43 : x
  2. Step 2: Convert to fraction form
    5,848.91/8,071.73 = 3,196.43/x
  3. Step 3: Cross multiply
    5,848.91x = 8,071.73 × 3,196.43
  4. Step 4: Simplify right side
    5,848.91x = 25,800,703.94
  5. Step 5: Solve for x
    x = 25,800,703.94/5,848.91
  6. Step 6: Final answer
    x = 4,411.20

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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.