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Finding the Fourth Proportional to 21,024, 31,536 and 8,550.81

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Solution

The fourth proportional to 21,024, 31,536 and 8,550.81 is: 12,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024 : 31,536 = 8,550.81 : x
  2. Step 2: Convert to fraction form
    21,024/31,536 = 8,550.81/x
  3. Step 3: Cross multiply
    21,024x = 31,536 × 8,550.81
  4. Step 4: Simplify right side
    21,024x = 269,658,344.16
  5. Step 5: Solve for x
    x = 269,658,344.16/21,024
  6. Step 6: Final answer
    x = 12,826.22

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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.