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Finding the Fourth Proportional to 21,914, 32,883.96 and 9,433.68

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Solution

The fourth proportional to 21,914, 32,883.96 and 9,433.68 is: 14,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914 : 32,883.96 = 9,433.68 : x
  2. Step 2: Convert to fraction form
    21,914/32,883.96 = 9,433.68/x
  3. Step 3: Cross multiply
    21,914x = 32,883.96 × 9,433.68
  4. Step 4: Simplify right side
    21,914x = 310,216,755.77
  5. Step 5: Solve for x
    x = 310,216,755.77/21,914
  6. Step 6: Final answer
    x = 14,156.10

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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.