Home / 31,914.56-47,874-8,543.36

Finding the Fourth Proportional to 31,914.56, 47,874 and 8,543.36

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Solution

The fourth proportional to 31,914.56, 47,874 and 8,543.36 is: 12,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914.56 : 47,874 = 8,543.36 : x
  2. Step 2: Convert to fraction form
    31,914.56/47,874 = 8,543.36/x
  3. Step 3: Cross multiply
    31,914.56x = 47,874 × 8,543.36
  4. Step 4: Simplify right side
    31,914.56x = 409,004,816.64
  5. Step 5: Solve for x
    x = 409,004,816.64/31,914.56
  6. Step 6: Final answer
    x = 12,815.62

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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.