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Finding the Fourth Proportional to 21,324.44, 31,981.80 and 9,641

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Solution

The fourth proportional to 21,324.44, 31,981.80 and 9,641 is: 14,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.44 : 31,981.80 = 9,641 : x
  2. Step 2: Convert to fraction form
    21,324.44/31,981.80 = 9,641/x
  3. Step 3: Cross multiply
    21,324.44x = 31,981.80 × 9,641
  4. Step 4: Simplify right side
    21,324.44x = 308,336,533.80
  5. Step 5: Solve for x
    x = 308,336,533.80/21,324.44
  6. Step 6: Final answer
    x = 14,459.30

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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.