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Finding the Fourth Proportional to 15,910.70, 21,959.16 and 11,449.22

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Solution

The fourth proportional to 15,910.70, 21,959.16 and 11,449.22 is: 15,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,910.70 : 21,959.16 = 11,449.22 : x
  2. Step 2: Convert to fraction form
    15,910.70/21,959.16 = 11,449.22/x
  3. Step 3: Cross multiply
    15,910.70x = 21,959.16 × 11,449.22
  4. Step 4: Simplify right side
    15,910.70x = 251,415,253.86
  5. Step 5: Solve for x
    x = 251,415,253.86/15,910.70
  6. Step 6: Final answer
    x = 15,801.65

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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.