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Finding the Fourth Proportional to 21,314, 31,983.96 and 9,002

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Solution

The fourth proportional to 21,314, 31,983.96 and 9,002 is: 13,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314 : 31,983.96 = 9,002 : x
  2. Step 2: Convert to fraction form
    21,314/31,983.96 = 9,002/x
  3. Step 3: Cross multiply
    21,314x = 31,983.96 × 9,002
  4. Step 4: Simplify right side
    21,314x = 287,919,607.92
  5. Step 5: Solve for x
    x = 287,919,607.92/21,314
  6. Step 6: Final answer
    x = 13,508.47

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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.