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Finding the Fourth Proportional to 8,462.56, 12,696 and 5,364.58

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Solution

The fourth proportional to 8,462.56, 12,696 and 5,364.58 is: 8,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.56 : 12,696 = 5,364.58 : x
  2. Step 2: Convert to fraction form
    8,462.56/12,696 = 5,364.58/x
  3. Step 3: Cross multiply
    8,462.56x = 12,696 × 5,364.58
  4. Step 4: Simplify right side
    8,462.56x = 68,108,707.68
  5. Step 5: Solve for x
    x = 68,108,707.68/8,462.56
  6. Step 6: Final answer
    x = 8,048.24

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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.