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Finding the Fourth Proportional to 15,080, 20,811.36 and 8,456

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Solution

The fourth proportional to 15,080, 20,811.36 and 8,456 is: 11,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,080 : 20,811.36 = 8,456 : x
  2. Step 2: Convert to fraction form
    15,080/20,811.36 = 8,456/x
  3. Step 3: Cross multiply
    15,080x = 20,811.36 × 8,456
  4. Step 4: Simplify right side
    15,080x = 175,980,860.16
  5. Step 5: Solve for x
    x = 175,980,860.16/15,080
  6. Step 6: Final answer
    x = 11,669.82

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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.