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Finding the Fourth Proportional to 27,138.47, 40,692.98 and 8,410.46

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Solution

The fourth proportional to 27,138.47, 40,692.98 and 8,410.46 is: 12,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.47 : 40,692.98 = 8,410.46 : x
  2. Step 2: Convert to fraction form
    27,138.47/40,692.98 = 8,410.46/x
  3. Step 3: Cross multiply
    27,138.47x = 40,692.98 × 8,410.46
  4. Step 4: Simplify right side
    27,138.47x = 342,246,498.13
  5. Step 5: Solve for x
    x = 342,246,498.13/27,138.47
  6. Step 6: Final answer
    x = 12,611.12

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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.