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Finding the Fourth Proportional to 4,076.54, 6,115.35 and 1,154.78

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Solution

The fourth proportional to 4,076.54, 6,115.35 and 1,154.78 is: 1,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.54 : 6,115.35 = 1,154.78 : x
  2. Step 2: Convert to fraction form
    4,076.54/6,115.35 = 1,154.78/x
  3. Step 3: Cross multiply
    4,076.54x = 6,115.35 × 1,154.78
  4. Step 4: Simplify right side
    4,076.54x = 7,061,883.87
  5. Step 5: Solve for x
    x = 7,061,883.87/4,076.54
  6. Step 6: Final answer
    x = 1,732.32

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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.