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Finding the Fourth Proportional to 8,581.86, 12,894.39 and 5,463.27

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Solution

The fourth proportional to 8,581.86, 12,894.39 and 5,463.27 is: 8,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581.86 : 12,894.39 = 5,463.27 : x
  2. Step 2: Convert to fraction form
    8,581.86/12,894.39 = 5,463.27/x
  3. Step 3: Cross multiply
    8,581.86x = 12,894.39 × 5,463.27
  4. Step 4: Simplify right side
    8,581.86x = 70,445,534.06
  5. Step 5: Solve for x
    x = 70,445,534.06/8,581.86
  6. Step 6: Final answer
    x = 8,208.66

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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.