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Finding the Fourth Proportional to 8,616.49, 12,916.51 and 2,769

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Solution

The fourth proportional to 8,616.49, 12,916.51 and 2,769 is: 4,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.49 : 12,916.51 = 2,769 : x
  2. Step 2: Convert to fraction form
    8,616.49/12,916.51 = 2,769/x
  3. Step 3: Cross multiply
    8,616.49x = 12,916.51 × 2,769
  4. Step 4: Simplify right side
    8,616.49x = 35,765,816.19
  5. Step 5: Solve for x
    x = 35,765,816.19/8,616.49
  6. Step 6: Final answer
    x = 4,150.86

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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.