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Finding the Fourth Proportional to 23,420.34, 35,087.97 and 13,538.74

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Solution

The fourth proportional to 23,420.34, 35,087.97 and 13,538.74 is: 20,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420.34 : 35,087.97 = 13,538.74 : x
  2. Step 2: Convert to fraction form
    23,420.34/35,087.97 = 13,538.74/x
  3. Step 3: Cross multiply
    23,420.34x = 35,087.97 × 13,538.74
  4. Step 4: Simplify right side
    23,420.34x = 475,046,902.96
  5. Step 5: Solve for x
    x = 475,046,902.96/23,420.34
  6. Step 6: Final answer
    x = 20,283.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.