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Finding the Fourth Proportional to 19,983, 29,974.50 and 5,391

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Solution

The fourth proportional to 19,983, 29,974.50 and 5,391 is: 8,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983 : 29,974.50 = 5,391 : x
  2. Step 2: Convert to fraction form
    19,983/29,974.50 = 5,391/x
  3. Step 3: Cross multiply
    19,983x = 29,974.50 × 5,391
  4. Step 4: Simplify right side
    19,983x = 161,592,529.50
  5. Step 5: Solve for x
    x = 161,592,529.50/19,983
  6. Step 6: Final answer
    x = 8,086.50

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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.