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Finding the Fourth Proportional to 8,657.51, 12,991.13 and 3,463.79

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Solution

The fourth proportional to 8,657.51, 12,991.13 and 3,463.79 is: 5,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.51 : 12,991.13 = 3,463.79 : x
  2. Step 2: Convert to fraction form
    8,657.51/12,991.13 = 3,463.79/x
  3. Step 3: Cross multiply
    8,657.51x = 12,991.13 × 3,463.79
  4. Step 4: Simplify right side
    8,657.51x = 44,998,528.86
  5. Step 5: Solve for x
    x = 44,998,528.86/8,657.51
  6. Step 6: Final answer
    x = 5,197.63

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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.