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Finding the Fourth Proportional to 4,600.40, 6,893.40 and 3,981.20

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Solution

The fourth proportional to 4,600.40, 6,893.40 and 3,981.20 is: 5,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.40 : 6,893.40 = 3,981.20 : x
  2. Step 2: Convert to fraction form
    4,600.40/6,893.40 = 3,981.20/x
  3. Step 3: Cross multiply
    4,600.40x = 6,893.40 × 3,981.20
  4. Step 4: Simplify right side
    4,600.40x = 27,444,004.08
  5. Step 5: Solve for x
    x = 27,444,004.08/4,600.40
  6. Step 6: Final answer
    x = 5,965.57

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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.