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Finding the Fourth Proportional to 8,401, 12,601.50 and 2,929

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Solution

The fourth proportional to 8,401, 12,601.50 and 2,929 is: 4,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401 : 12,601.50 = 2,929 : x
  2. Step 2: Convert to fraction form
    8,401/12,601.50 = 2,929/x
  3. Step 3: Cross multiply
    8,401x = 12,601.50 × 2,929
  4. Step 4: Simplify right side
    8,401x = 36,909,793.50
  5. Step 5: Solve for x
    x = 36,909,793.50/8,401
  6. Step 6: Final answer
    x = 4,393.50

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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.