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Finding the Fourth Proportional to 3,239.61, 4,471.83 and 1,914.09

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Solution

The fourth proportional to 3,239.61, 4,471.83 and 1,914.09 is: 2,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.61 : 4,471.83 = 1,914.09 : x
  2. Step 2: Convert to fraction form
    3,239.61/4,471.83 = 1,914.09/x
  3. Step 3: Cross multiply
    3,239.61x = 4,471.83 × 1,914.09
  4. Step 4: Simplify right side
    3,239.61x = 8,559,485.08
  5. Step 5: Solve for x
    x = 8,559,485.08/3,239.61
  6. Step 6: Final answer
    x = 2,642.13

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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.