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Finding the Fourth Proportional to 1,777.96, 2,455.02 and 1,591.12

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Solution

The fourth proportional to 1,777.96, 2,455.02 and 1,591.12 is: 2,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.96 : 2,455.02 = 1,591.12 : x
  2. Step 2: Convert to fraction form
    1,777.96/2,455.02 = 1,591.12/x
  3. Step 3: Cross multiply
    1,777.96x = 2,455.02 × 1,591.12
  4. Step 4: Simplify right side
    1,777.96x = 3,906,231.42
  5. Step 5: Solve for x
    x = 3,906,231.42/1,777.96
  6. Step 6: Final answer
    x = 2,197.03

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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.