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Finding the Fourth Proportional to 6,398.57, 8,826.30 and 4,409.01

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Solution

The fourth proportional to 6,398.57, 8,826.30 and 4,409.01 is: 6,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.57 : 8,826.30 = 4,409.01 : x
  2. Step 2: Convert to fraction form
    6,398.57/8,826.30 = 4,409.01/x
  3. Step 3: Cross multiply
    6,398.57x = 8,826.30 × 4,409.01
  4. Step 4: Simplify right side
    6,398.57x = 38,915,244.96
  5. Step 5: Solve for x
    x = 38,915,244.96/6,398.57
  6. Step 6: Final answer
    x = 6,081.86

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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.