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Finding the Fourth Proportional to 43,578, 65,376.72 and 15,876

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Solution

The fourth proportional to 43,578, 65,376.72 and 15,876 is: 23,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,578 : 65,376.72 = 15,876 : x
  2. Step 2: Convert to fraction form
    43,578/65,376.72 = 15,876/x
  3. Step 3: Cross multiply
    43,578x = 65,376.72 × 15,876
  4. Step 4: Simplify right side
    43,578x = 1,037,920,806.72
  5. Step 5: Solve for x
    x = 1,037,920,806.72/43,578
  6. Step 6: Final answer
    x = 23,817.54

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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.