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Finding the Fourth Proportional to 8,390.86, 11,578.46 and 5,033.82

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Solution

The fourth proportional to 8,390.86, 11,578.46 and 5,033.82 is: 6,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.86 : 11,578.46 = 5,033.82 : x
  2. Step 2: Convert to fraction form
    8,390.86/11,578.46 = 5,033.82/x
  3. Step 3: Cross multiply
    8,390.86x = 11,578.46 × 5,033.82
  4. Step 4: Simplify right side
    8,390.86x = 58,283,883.52
  5. Step 5: Solve for x
    x = 58,283,883.52/8,390.86
  6. Step 6: Final answer
    x = 6,946.12

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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.