Home / 31,883.90-47,784.20-13,142.52

Finding the Fourth Proportional to 31,883.90, 47,784.20 and 13,142.52

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Solution

The fourth proportional to 31,883.90, 47,784.20 and 13,142.52 is: 19,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.90 : 47,784.20 = 13,142.52 : x
  2. Step 2: Convert to fraction form
    31,883.90/47,784.20 = 13,142.52/x
  3. Step 3: Cross multiply
    31,883.90x = 47,784.20 × 13,142.52
  4. Step 4: Simplify right side
    31,883.90x = 628,004,738.47
  5. Step 5: Solve for x
    x = 628,004,738.47/31,883.90
  6. Step 6: Final answer
    x = 19,696.61

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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.