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Finding the Fourth Proportional to 11,416.88, 15,755.90 and 6,939.90

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Solution

The fourth proportional to 11,416.88, 15,755.90 and 6,939.90 is: 9,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.88 : 15,755.90 = 6,939.90 : x
  2. Step 2: Convert to fraction form
    11,416.88/15,755.90 = 6,939.90/x
  3. Step 3: Cross multiply
    11,416.88x = 15,755.90 × 6,939.90
  4. Step 4: Simplify right side
    11,416.88x = 109,344,335.71
  5. Step 5: Solve for x
    x = 109,344,335.71/11,416.88
  6. Step 6: Final answer
    x = 9,577.42

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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.