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Finding the Fourth Proportional to 15,825, 21,836.61 and 8,750.46

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Solution

The fourth proportional to 15,825, 21,836.61 and 8,750.46 is: 12,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825 : 21,836.61 = 8,750.46 : x
  2. Step 2: Convert to fraction form
    15,825/21,836.61 = 8,750.46/x
  3. Step 3: Cross multiply
    15,825x = 21,836.61 × 8,750.46
  4. Step 4: Simplify right side
    15,825x = 191,080,382.34
  5. Step 5: Solve for x
    x = 191,080,382.34/15,825
  6. Step 6: Final answer
    x = 12,074.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.