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Finding the Fourth Proportional to 11,514.88, 17,255.04 and 6,892.80

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Solution

The fourth proportional to 11,514.88, 17,255.04 and 6,892.80 is: 10,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.88 : 17,255.04 = 6,892.80 : x
  2. Step 2: Convert to fraction form
    11,514.88/17,255.04 = 6,892.80/x
  3. Step 3: Cross multiply
    11,514.88x = 17,255.04 × 6,892.80
  4. Step 4: Simplify right side
    11,514.88x = 118,935,539.71
  5. Step 5: Solve for x
    x = 118,935,539.71/11,514.88
  6. Step 6: Final answer
    x = 10,328.86

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1.5x scale

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.