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Finding the Fourth Proportional to 8,115, 11,198.76 and 4,973.28

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Solution

The fourth proportional to 8,115, 11,198.76 and 4,973.28 is: 6,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115 : 11,198.76 = 4,973.28 : x
  2. Step 2: Convert to fraction form
    8,115/11,198.76 = 4,973.28/x
  3. Step 3: Cross multiply
    8,115x = 11,198.76 × 4,973.28
  4. Step 4: Simplify right side
    8,115x = 55,694,569.13
  5. Step 5: Solve for x
    x = 55,694,569.13/8,115
  6. Step 6: Final answer
    x = 6,863.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.