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Finding the Fourth Proportional to 8,740, 13,112.22 and 2,584

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Solution

The fourth proportional to 8,740, 13,112.22 and 2,584 is: 3,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740 : 13,112.22 = 2,584 : x
  2. Step 2: Convert to fraction form
    8,740/13,112.22 = 2,584/x
  3. Step 3: Cross multiply
    8,740x = 13,112.22 × 2,584
  4. Step 4: Simplify right side
    8,740x = 33,881,976.48
  5. Step 5: Solve for x
    x = 33,881,976.48/8,740
  6. Step 6: Final answer
    x = 3,876.66

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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.