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Finding the Fourth Proportional to 6,398.71, 8,827.71 and 4,007.69

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Solution

The fourth proportional to 6,398.71, 8,827.71 and 4,007.69 is: 5,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.71 : 8,827.71 = 4,007.69 : x
  2. Step 2: Convert to fraction form
    6,398.71/8,827.71 = 4,007.69/x
  3. Step 3: Cross multiply
    6,398.71x = 8,827.71 × 4,007.69
  4. Step 4: Simplify right side
    6,398.71x = 35,378,725.09
  5. Step 5: Solve for x
    x = 35,378,725.09/6,398.71
  6. Step 6: Final answer
    x = 5,529.04

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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.