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Finding the Fourth Proportional to 31,878.34, 43,992.93 and 17,538.53

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Solution

The fourth proportional to 31,878.34, 43,992.93 and 17,538.53 is: 24,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.34 : 43,992.93 = 17,538.53 : x
  2. Step 2: Convert to fraction form
    31,878.34/43,992.93 = 17,538.53/x
  3. Step 3: Cross multiply
    31,878.34x = 43,992.93 × 17,538.53
  4. Step 4: Simplify right side
    31,878.34x = 771,571,322.59
  5. Step 5: Solve for x
    x = 771,571,322.59/31,878.34
  6. Step 6: Final answer
    x = 24,203.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.