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Finding the Fourth Proportional to 31,699, 43,756.14 and 18,451

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Solution

The fourth proportional to 31,699, 43,756.14 and 18,451 is: 25,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699 : 43,756.14 = 18,451 : x
  2. Step 2: Convert to fraction form
    31,699/43,756.14 = 18,451/x
  3. Step 3: Cross multiply
    31,699x = 43,756.14 × 18,451
  4. Step 4: Simplify right side
    31,699x = 807,344,539.14
  5. Step 5: Solve for x
    x = 807,344,539.14/31,699
  6. Step 6: Final answer
    x = 25,469.09

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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.