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Finding the Fourth Proportional to 3,238.77, 4,470.05 and 1,823.09

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Solution

The fourth proportional to 3,238.77, 4,470.05 and 1,823.09 is: 2,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.77 : 4,470.05 = 1,823.09 : x
  2. Step 2: Convert to fraction form
    3,238.77/4,470.05 = 1,823.09/x
  3. Step 3: Cross multiply
    3,238.77x = 4,470.05 × 1,823.09
  4. Step 4: Simplify right side
    3,238.77x = 8,149,305.51
  5. Step 5: Solve for x
    x = 8,149,305.51/3,238.77
  6. Step 6: Final answer
    x = 2,516.17

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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.