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Finding the Fourth Proportional to 6,434.60, 8,877.13 and 3,914.69

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Solution

The fourth proportional to 6,434.60, 8,877.13 and 3,914.69 is: 5,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.60 : 8,877.13 = 3,914.69 : x
  2. Step 2: Convert to fraction form
    6,434.60/8,877.13 = 3,914.69/x
  3. Step 3: Cross multiply
    6,434.60x = 8,877.13 × 3,914.69
  4. Step 4: Simplify right side
    6,434.60x = 34,751,157.87
  5. Step 5: Solve for x
    x = 34,751,157.87/6,434.60
  6. Step 6: Final answer
    x = 5,400.68

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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.