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Finding the Fourth Proportional to 3,977.86, 5,491.24 and 3,033.74

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Solution

The fourth proportional to 3,977.86, 5,491.24 and 3,033.74 is: 4,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.86 : 5,491.24 = 3,033.74 : x
  2. Step 2: Convert to fraction form
    3,977.86/5,491.24 = 3,033.74/x
  3. Step 3: Cross multiply
    3,977.86x = 5,491.24 × 3,033.74
  4. Step 4: Simplify right side
    3,977.86x = 16,658,959.40
  5. Step 5: Solve for x
    x = 16,658,959.40/3,977.86
  6. Step 6: Final answer
    x = 4,187.92

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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.