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Finding the Fourth Proportional to 21,679.76, 32,508.12 and 9,983

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Solution

The fourth proportional to 21,679.76, 32,508.12 and 9,983 is: 14,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,679.76 : 32,508.12 = 9,983 : x
  2. Step 2: Convert to fraction form
    21,679.76/32,508.12 = 9,983/x
  3. Step 3: Cross multiply
    21,679.76x = 32,508.12 × 9,983
  4. Step 4: Simplify right side
    21,679.76x = 324,528,561.96
  5. Step 5: Solve for x
    x = 324,528,561.96/21,679.76
  6. Step 6: Final answer
    x = 14,969.20

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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.