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Finding the Fourth Proportional to 3,239.88, 4,470.93 and 1,823.65

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Solution

The fourth proportional to 3,239.88, 4,470.93 and 1,823.65 is: 2,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.88 : 4,470.93 = 1,823.65 : x
  2. Step 2: Convert to fraction form
    3,239.88/4,470.93 = 1,823.65/x
  3. Step 3: Cross multiply
    3,239.88x = 4,470.93 × 1,823.65
  4. Step 4: Simplify right side
    3,239.88x = 8,153,389.14
  5. Step 5: Solve for x
    x = 8,153,389.14/3,239.88
  6. Step 6: Final answer
    x = 2,516.57

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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.