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Finding the Fourth Proportional to 8,541.64, 12,816.78 and 3,347.56

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Solution

The fourth proportional to 8,541.64, 12,816.78 and 3,347.56 is: 5,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.64 : 12,816.78 = 3,347.56 : x
  2. Step 2: Convert to fraction form
    8,541.64/12,816.78 = 3,347.56/x
  3. Step 3: Cross multiply
    8,541.64x = 12,816.78 × 3,347.56
  4. Step 4: Simplify right side
    8,541.64x = 42,904,940.06
  5. Step 5: Solve for x
    x = 42,904,940.06/8,541.64
  6. Step 6: Final answer
    x = 5,023.03

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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.