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Finding the Fourth Proportional to 31,573.80, 43,580.43 and 18,146.43

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Solution

The fourth proportional to 31,573.80, 43,580.43 and 18,146.43 is: 25,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,573.80 : 43,580.43 = 18,146.43 : x
  2. Step 2: Convert to fraction form
    31,573.80/43,580.43 = 18,146.43/x
  3. Step 3: Cross multiply
    31,573.80x = 43,580.43 × 18,146.43
  4. Step 4: Simplify right side
    31,573.80x = 790,829,222.36
  5. Step 5: Solve for x
    x = 790,829,222.36/31,573.80
  6. Step 6: Final answer
    x = 25,047.01

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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.