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Finding the Fourth Proportional to 3,037, 4,191.10 and 1,777.82

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Solution

The fourth proportional to 3,037, 4,191.10 and 1,777.82 is: 2,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037 : 4,191.10 = 1,777.82 : x
  2. Step 2: Convert to fraction form
    3,037/4,191.10 = 1,777.82/x
  3. Step 3: Cross multiply
    3,037x = 4,191.10 × 1,777.82
  4. Step 4: Simplify right side
    3,037x = 7,451,021.40
  5. Step 5: Solve for x
    x = 7,451,021.40/3,037
  6. Step 6: Final answer
    x = 2,453.42

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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.