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Finding the Fourth Proportional to 10,997.79, 16,496.64 and 3,977.78

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Solution

The fourth proportional to 10,997.79, 16,496.64 and 3,977.78 is: 5,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.79 : 16,496.64 = 3,977.78 : x
  2. Step 2: Convert to fraction form
    10,997.79/16,496.64 = 3,977.78/x
  3. Step 3: Cross multiply
    10,997.79x = 16,496.64 × 3,977.78
  4. Step 4: Simplify right side
    10,997.79x = 65,619,970.96
  5. Step 5: Solve for x
    x = 65,619,970.96/10,997.79
  6. Step 6: Final answer
    x = 5,966.65

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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.