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Finding the Fourth Proportional to 8,914, 13,371.72 and 2,758

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Solution

The fourth proportional to 8,914, 13,371.72 and 2,758 is: 4,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914 : 13,371.72 = 2,758 : x
  2. Step 2: Convert to fraction form
    8,914/13,371.72 = 2,758/x
  3. Step 3: Cross multiply
    8,914x = 13,371.72 × 2,758
  4. Step 4: Simplify right side
    8,914x = 36,879,203.76
  5. Step 5: Solve for x
    x = 36,879,203.76/8,914
  6. Step 6: Final answer
    x = 4,137.22

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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.