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Finding the Fourth Proportional to 11,616.79, 16,037.81 and 7,649.44

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Solution

The fourth proportional to 11,616.79, 16,037.81 and 7,649.44 is: 10,560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.79 : 16,037.81 = 7,649.44 : x
  2. Step 2: Convert to fraction form
    11,616.79/16,037.81 = 7,649.44/x
  3. Step 3: Cross multiply
    11,616.79x = 16,037.81 × 7,649.44
  4. Step 4: Simplify right side
    11,616.79x = 122,680,265.33
  5. Step 5: Solve for x
    x = 122,680,265.33/11,616.79
  6. Step 6: Final answer
    x = 10,560.60

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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.