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Finding the Fourth Proportional to 6,407.79, 8,837.78 and 4,049.07

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Solution

The fourth proportional to 6,407.79, 8,837.78 and 4,049.07 is: 5,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.79 : 8,837.78 = 4,049.07 : x
  2. Step 2: Convert to fraction form
    6,407.79/8,837.78 = 4,049.07/x
  3. Step 3: Cross multiply
    6,407.79x = 8,837.78 × 4,049.07
  4. Step 4: Simplify right side
    6,407.79x = 35,784,769.62
  5. Step 5: Solve for x
    x = 35,784,769.62/6,407.79
  6. Step 6: Final answer
    x = 5,584.57

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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.