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Finding the Fourth Proportional to 8,111.66, 12,160.17 and 2,916.32

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Solution

The fourth proportional to 8,111.66, 12,160.17 and 2,916.32 is: 4,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.66 : 12,160.17 = 2,916.32 : x
  2. Step 2: Convert to fraction form
    8,111.66/12,160.17 = 2,916.32/x
  3. Step 3: Cross multiply
    8,111.66x = 12,160.17 × 2,916.32
  4. Step 4: Simplify right side
    8,111.66x = 35,462,946.97
  5. Step 5: Solve for x
    x = 35,462,946.97/8,111.66
  6. Step 6: Final answer
    x = 4,371.85

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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.