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Finding the Fourth Proportional to 3,558.74, 4,911.22 and 1,965.61

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Solution

The fourth proportional to 3,558.74, 4,911.22 and 1,965.61 is: 2,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.74 : 4,911.22 = 1,965.61 : x
  2. Step 2: Convert to fraction form
    3,558.74/4,911.22 = 1,965.61/x
  3. Step 3: Cross multiply
    3,558.74x = 4,911.22 × 1,965.61
  4. Step 4: Simplify right side
    3,558.74x = 9,653,543.14
  5. Step 5: Solve for x
    x = 9,653,543.14/3,558.74
  6. Step 6: Final answer
    x = 2,712.63

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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.