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Finding the Fourth Proportional to 15,201.68, 20,978.16 and 8,912.84

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Solution

The fourth proportional to 15,201.68, 20,978.16 and 8,912.84 is: 12,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.68 : 20,978.16 = 8,912.84 : x
  2. Step 2: Convert to fraction form
    15,201.68/20,978.16 = 8,912.84/x
  3. Step 3: Cross multiply
    15,201.68x = 20,978.16 × 8,912.84
  4. Step 4: Simplify right side
    15,201.68x = 186,974,983.57
  5. Step 5: Solve for x
    x = 186,974,983.57/15,201.68
  6. Step 6: Final answer
    x = 12,299.63

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1.5x scale

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.