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Finding the Fourth Proportional to 21,223.68, 31,824.59 and 9,526.88

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Solution

The fourth proportional to 21,223.68, 31,824.59 and 9,526.88 is: 14,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223.68 : 31,824.59 = 9,526.88 : x
  2. Step 2: Convert to fraction form
    21,223.68/31,824.59 = 9,526.88/x
  3. Step 3: Cross multiply
    21,223.68x = 31,824.59 × 9,526.88
  4. Step 4: Simplify right side
    21,223.68x = 303,188,843.22
  5. Step 5: Solve for x
    x = 303,188,843.22/21,223.68
  6. Step 6: Final answer
    x = 14,285.40

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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.