Home / 31,583.08-47,374.62-8,209.36

Finding the Fourth Proportional to 31,583.08, 47,374.62 and 8,209.36

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Solution

The fourth proportional to 31,583.08, 47,374.62 and 8,209.36 is: 12,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,583.08 : 47,374.62 = 8,209.36 : x
  2. Step 2: Convert to fraction form
    31,583.08/47,374.62 = 8,209.36/x
  3. Step 3: Cross multiply
    31,583.08x = 47,374.62 × 8,209.36
  4. Step 4: Simplify right side
    31,583.08x = 388,915,310.44
  5. Step 5: Solve for x
    x = 388,915,310.44/31,583.08
  6. Step 6: Final answer
    x = 12,314.04

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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.