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Finding the Fourth Proportional to 8,151.77, 12,220.32 and 2,954

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Solution

The fourth proportional to 8,151.77, 12,220.32 and 2,954 is: 4,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.77 : 12,220.32 = 2,954 : x
  2. Step 2: Convert to fraction form
    8,151.77/12,220.32 = 2,954/x
  3. Step 3: Cross multiply
    8,151.77x = 12,220.32 × 2,954
  4. Step 4: Simplify right side
    8,151.77x = 36,098,825.28
  5. Step 5: Solve for x
    x = 36,098,825.28/8,151.77
  6. Step 6: Final answer
    x = 4,428.34

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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.