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Finding the Fourth Proportional to 10,076.64, 15,113.25 and 2,680.49

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Solution

The fourth proportional to 10,076.64, 15,113.25 and 2,680.49 is: 4,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.64 : 15,113.25 = 2,680.49 : x
  2. Step 2: Convert to fraction form
    10,076.64/15,113.25 = 2,680.49/x
  3. Step 3: Cross multiply
    10,076.64x = 15,113.25 × 2,680.49
  4. Step 4: Simplify right side
    10,076.64x = 40,510,839.93
  5. Step 5: Solve for x
    x = 40,510,839.93/10,076.64
  6. Step 6: Final answer
    x = 4,020.27

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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.