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Finding the Fourth Proportional to 5,863.84, 8,786 and 4,128.82

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Solution

The fourth proportional to 5,863.84, 8,786 and 4,128.82 is: 6,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.84 : 8,786 = 4,128.82 : x
  2. Step 2: Convert to fraction form
    5,863.84/8,786 = 4,128.82/x
  3. Step 3: Cross multiply
    5,863.84x = 8,786 × 4,128.82
  4. Step 4: Simplify right side
    5,863.84x = 36,275,812.52
  5. Step 5: Solve for x
    x = 36,275,812.52/5,863.84
  6. Step 6: Final answer
    x = 6,186.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.