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Finding the Fourth Proportional to 6,434.72, 8,880 and 3,640.16

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Solution

The fourth proportional to 6,434.72, 8,880 and 3,640.16 is: 5,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.72 : 8,880 = 3,640.16 : x
  2. Step 2: Convert to fraction form
    6,434.72/8,880 = 3,640.16/x
  3. Step 3: Cross multiply
    6,434.72x = 8,880 × 3,640.16
  4. Step 4: Simplify right side
    6,434.72x = 32,324,620.80
  5. Step 5: Solve for x
    x = 32,324,620.80/6,434.72
  6. Step 6: Final answer
    x = 5,023.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.