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Finding the Fourth Proportional to 15,128.64, 22,672.80 and 6,806.88

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Solution

The fourth proportional to 15,128.64, 22,672.80 and 6,806.88 is: 10,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,128.64 : 22,672.80 = 6,806.88 : x
  2. Step 2: Convert to fraction form
    15,128.64/22,672.80 = 6,806.88/x
  3. Step 3: Cross multiply
    15,128.64x = 22,672.80 × 6,806.88
  4. Step 4: Simplify right side
    15,128.64x = 154,331,028.86
  5. Step 5: Solve for x
    x = 154,331,028.86/15,128.64
  6. Step 6: Final answer
    x = 10,201.25

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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.