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Finding the Fourth Proportional to 15,076.76, 22,578.08 and 12,428.06

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Solution

The fourth proportional to 15,076.76, 22,578.08 and 12,428.06 is: 18,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.76 : 22,578.08 = 12,428.06 : x
  2. Step 2: Convert to fraction form
    15,076.76/22,578.08 = 12,428.06/x
  3. Step 3: Cross multiply
    15,076.76x = 22,578.08 × 12,428.06
  4. Step 4: Simplify right side
    15,076.76x = 280,601,557.89
  5. Step 5: Solve for x
    x = 280,601,557.89/15,076.76
  6. Step 6: Final answer
    x = 18,611.54

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Why These Related Problems?

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