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Finding the Fourth Proportional to 3,101.40, 4,652.46 and 910.08

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Solution

The fourth proportional to 3,101.40, 4,652.46 and 910.08 is: 1,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.40 : 4,652.46 = 910.08 : x
  2. Step 2: Convert to fraction form
    3,101.40/4,652.46 = 910.08/x
  3. Step 3: Cross multiply
    3,101.40x = 4,652.46 × 910.08
  4. Step 4: Simplify right side
    3,101.40x = 4,234,110.80
  5. Step 5: Solve for x
    x = 4,234,110.80/3,101.40
  6. Step 6: Final answer
    x = 1,365.23

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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.