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Finding the Fourth Proportional to 21,983, 32,974.56 and 6,401

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Solution

The fourth proportional to 21,983, 32,974.56 and 6,401 is: 9,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983 : 32,974.56 = 6,401 : x
  2. Step 2: Convert to fraction form
    21,983/32,974.56 = 6,401/x
  3. Step 3: Cross multiply
    21,983x = 32,974.56 × 6,401
  4. Step 4: Simplify right side
    21,983x = 211,070,158.56
  5. Step 5: Solve for x
    x = 211,070,158.56/21,983
  6. Step 6: Final answer
    x = 9,601.52

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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.