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Finding the Fourth Proportional to 3,491.32, 5,236.98 and 1,643.74

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Solution

The fourth proportional to 3,491.32, 5,236.98 and 1,643.74 is: 2,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.32 : 5,236.98 = 1,643.74 : x
  2. Step 2: Convert to fraction form
    3,491.32/5,236.98 = 1,643.74/x
  3. Step 3: Cross multiply
    3,491.32x = 5,236.98 × 1,643.74
  4. Step 4: Simplify right side
    3,491.32x = 8,608,233.51
  5. Step 5: Solve for x
    x = 8,608,233.51/3,491.32
  6. Step 6: Final answer
    x = 2,465.61

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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.