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Finding the Fourth Proportional to 11,649.75, 16,076.71 and 6,934.20

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Solution

The fourth proportional to 11,649.75, 16,076.71 and 6,934.20 is: 9,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.75 : 16,076.71 = 6,934.20 : x
  2. Step 2: Convert to fraction form
    11,649.75/16,076.71 = 6,934.20/x
  3. Step 3: Cross multiply
    11,649.75x = 16,076.71 × 6,934.20
  4. Step 4: Simplify right side
    11,649.75x = 111,479,122.48
  5. Step 5: Solve for x
    x = 111,479,122.48/11,649.75
  6. Step 6: Final answer
    x = 9,569.23

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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.