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Finding the Fourth Proportional to 4,640.40, 6,961.20 and 2,301.60

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Solution

The fourth proportional to 4,640.40, 6,961.20 and 2,301.60 is: 3,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.40 : 6,961.20 = 2,301.60 : x
  2. Step 2: Convert to fraction form
    4,640.40/6,961.20 = 2,301.60/x
  3. Step 3: Cross multiply
    4,640.40x = 6,961.20 × 2,301.60
  4. Step 4: Simplify right side
    4,640.40x = 16,021,897.92
  5. Step 5: Solve for x
    x = 16,021,897.92/4,640.40
  6. Step 6: Final answer
    x = 3,452.70

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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.