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Finding the Fourth Proportional to 21,183, 31,774.50 and 7,332

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Solution

The fourth proportional to 21,183, 31,774.50 and 7,332 is: 10,998

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,183 : 31,774.50 = 7,332 : x
  2. Step 2: Convert to fraction form
    21,183/31,774.50 = 7,332/x
  3. Step 3: Cross multiply
    21,183x = 31,774.50 × 7,332
  4. Step 4: Simplify right side
    21,183x = 232,970,634
  5. Step 5: Solve for x
    x = 232,970,634/21,183
  6. Step 6: Final answer
    x = 10,998

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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.