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Finding the Fourth Proportional to 31,404, 43,335.60 and 17,256.48

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Solution

The fourth proportional to 31,404, 43,335.60 and 17,256.48 is: 23,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,404 : 43,335.60 = 17,256.48 : x
  2. Step 2: Convert to fraction form
    31,404/43,335.60 = 17,256.48/x
  3. Step 3: Cross multiply
    31,404x = 43,335.60 × 17,256.48
  4. Step 4: Simplify right side
    31,404x = 747,819,914.69
  5. Step 5: Solve for x
    x = 747,819,914.69/31,404
  6. Step 6: Final answer
    x = 23,812.89

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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.