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Finding the Fourth Proportional to 8,115, 11,198.97 and 4,970.58

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Solution

The fourth proportional to 8,115, 11,198.97 and 4,970.58 is: 6,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115 : 11,198.97 = 4,970.58 : x
  2. Step 2: Convert to fraction form
    8,115/11,198.97 = 4,970.58/x
  3. Step 3: Cross multiply
    8,115x = 11,198.97 × 4,970.58
  4. Step 4: Simplify right side
    8,115x = 55,665,376.30
  5. Step 5: Solve for x
    x = 55,665,376.30/8,115
  6. Step 6: Final answer
    x = 6,859.57

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1.5x scale

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.