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Finding the Fourth Proportional to 8,506.74, 12,759.27 and 2,663.40

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Solution

The fourth proportional to 8,506.74, 12,759.27 and 2,663.40 is: 3,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.74 : 12,759.27 = 2,663.40 : x
  2. Step 2: Convert to fraction form
    8,506.74/12,759.27 = 2,663.40/x
  3. Step 3: Cross multiply
    8,506.74x = 12,759.27 × 2,663.40
  4. Step 4: Simplify right side
    8,506.74x = 33,983,039.72
  5. Step 5: Solve for x
    x = 33,983,039.72/8,506.74
  6. Step 6: Final answer
    x = 3,994.84

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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.