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Finding the Fourth Proportional to 31,751.17, 47,627.16 and 21,887.80

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Solution

The fourth proportional to 31,751.17, 47,627.16 and 21,887.80 is: 32,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.17 : 47,627.16 = 21,887.80 : x
  2. Step 2: Convert to fraction form
    31,751.17/47,627.16 = 21,887.80/x
  3. Step 3: Cross multiply
    31,751.17x = 47,627.16 × 21,887.80
  4. Step 4: Simplify right side
    31,751.17x = 1,042,453,752.65
  5. Step 5: Solve for x
    x = 1,042,453,752.65/31,751.17
  6. Step 6: Final answer
    x = 32,831.98

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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.