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Finding the Fourth Proportional to 8,617.28, 12,927.04 and 2,771.84

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Solution

The fourth proportional to 8,617.28, 12,927.04 and 2,771.84 is: 4,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.28 : 12,927.04 = 2,771.84 : x
  2. Step 2: Convert to fraction form
    8,617.28/12,927.04 = 2,771.84/x
  3. Step 3: Cross multiply
    8,617.28x = 12,927.04 × 2,771.84
  4. Step 4: Simplify right side
    8,617.28x = 35,831,686.55
  5. Step 5: Solve for x
    x = 35,831,686.55/8,617.28
  6. Step 6: Final answer
    x = 4,158.12

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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.