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Finding the Fourth Proportional to 6,434, 8,872.83 and 4,197.59

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Solution

The fourth proportional to 6,434, 8,872.83 and 4,197.59 is: 5,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434 : 8,872.83 = 4,197.59 : x
  2. Step 2: Convert to fraction form
    6,434/8,872.83 = 4,197.59/x
  3. Step 3: Cross multiply
    6,434x = 8,872.83 × 4,197.59
  4. Step 4: Simplify right side
    6,434x = 37,244,502.48
  5. Step 5: Solve for x
    x = 37,244,502.48/6,434
  6. Step 6: Final answer
    x = 5,788.70

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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.