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Finding the Fourth Proportional to 8,564.56, 12,846.86 and 2,721.68

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Solution

The fourth proportional to 8,564.56, 12,846.86 and 2,721.68 is: 4,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.56 : 12,846.86 = 2,721.68 : x
  2. Step 2: Convert to fraction form
    8,564.56/12,846.86 = 2,721.68/x
  3. Step 3: Cross multiply
    8,564.56x = 12,846.86 × 2,721.68
  4. Step 4: Simplify right side
    8,564.56x = 34,965,041.92
  5. Step 5: Solve for x
    x = 34,965,041.92/8,564.56
  6. Step 6: Final answer
    x = 4,082.53

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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.