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Finding the Fourth Proportional to 3,101.96, 4,652.91 and 910.61

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Solution

The fourth proportional to 3,101.96, 4,652.91 and 910.61 is: 1,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.96 : 4,652.91 = 910.61 : x
  2. Step 2: Convert to fraction form
    3,101.96/4,652.91 = 910.61/x
  3. Step 3: Cross multiply
    3,101.96x = 4,652.91 × 910.61
  4. Step 4: Simplify right side
    3,101.96x = 4,236,980.56
  5. Step 5: Solve for x
    x = 4,236,980.56/3,101.96
  6. Step 6: Final answer
    x = 1,365.90

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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.