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Finding the Fourth Proportional to 3,235.81, 4,464.14 and 1,819.17

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Solution

The fourth proportional to 3,235.81, 4,464.14 and 1,819.17 is: 2,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.81 : 4,464.14 = 1,819.17 : x
  2. Step 2: Convert to fraction form
    3,235.81/4,464.14 = 1,819.17/x
  3. Step 3: Cross multiply
    3,235.81x = 4,464.14 × 1,819.17
  4. Step 4: Simplify right side
    3,235.81x = 8,121,029.56
  5. Step 5: Solve for x
    x = 8,121,029.56/3,235.81
  6. Step 6: Final answer
    x = 2,509.74

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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.