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Finding the Fourth Proportional to 3,950.82, 5,927.94 and 2,101.50

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Solution

The fourth proportional to 3,950.82, 5,927.94 and 2,101.50 is: 3,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.82 : 5,927.94 = 2,101.50 : x
  2. Step 2: Convert to fraction form
    3,950.82/5,927.94 = 2,101.50/x
  3. Step 3: Cross multiply
    3,950.82x = 5,927.94 × 2,101.50
  4. Step 4: Simplify right side
    3,950.82x = 12,457,565.91
  5. Step 5: Solve for x
    x = 12,457,565.91/3,950.82
  6. Step 6: Final answer
    x = 3,153.16

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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.