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Finding the Fourth Proportional to 31,692, 43,746.48 and 18,444

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Solution

The fourth proportional to 31,692, 43,746.48 and 18,444 is: 25,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692 : 43,746.48 = 18,444 : x
  2. Step 2: Convert to fraction form
    31,692/43,746.48 = 18,444/x
  3. Step 3: Cross multiply
    31,692x = 43,746.48 × 18,444
  4. Step 4: Simplify right side
    31,692x = 806,860,077.12
  5. Step 5: Solve for x
    x = 806,860,077.12/31,692
  6. Step 6: Final answer
    x = 25,459.42

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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.