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Finding the Fourth Proportional to 3,813.12, 5,719.44 and 1,347.72

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Solution

The fourth proportional to 3,813.12, 5,719.44 and 1,347.72 is: 2,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.12 : 5,719.44 = 1,347.72 : x
  2. Step 2: Convert to fraction form
    3,813.12/5,719.44 = 1,347.72/x
  3. Step 3: Cross multiply
    3,813.12x = 5,719.44 × 1,347.72
  4. Step 4: Simplify right side
    3,813.12x = 7,708,203.68
  5. Step 5: Solve for x
    x = 7,708,203.68/3,813.12
  6. Step 6: Final answer
    x = 2,021.50

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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.