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Finding the Fourth Proportional to 21,145.64, 31,718.46 and 8,825

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Solution

The fourth proportional to 21,145.64, 31,718.46 and 8,825 is: 13,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.64 : 31,718.46 = 8,825 : x
  2. Step 2: Convert to fraction form
    21,145.64/31,718.46 = 8,825/x
  3. Step 3: Cross multiply
    21,145.64x = 31,718.46 × 8,825
  4. Step 4: Simplify right side
    21,145.64x = 279,915,409.50
  5. Step 5: Solve for x
    x = 279,915,409.50/21,145.64
  6. Step 6: Final answer
    x = 13,237.50

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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.