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Finding the Fourth Proportional to 31,720.88, 47,593.78 and 13,009.88

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Solution

The fourth proportional to 31,720.88, 47,593.78 and 13,009.88 is: 19,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.88 : 47,593.78 = 13,009.88 : x
  2. Step 2: Convert to fraction form
    31,720.88/47,593.78 = 13,009.88/x
  3. Step 3: Cross multiply
    31,720.88x = 47,593.78 × 13,009.88
  4. Step 4: Simplify right side
    31,720.88x = 619,189,453.01
  5. Step 5: Solve for x
    x = 619,189,453.01/31,720.88
  6. Step 6: Final answer
    x = 19,519.93

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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.