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Finding the Fourth Proportional to 2,787.77, 3,847.16 and 1,528.94

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Solution

The fourth proportional to 2,787.77, 3,847.16 and 1,528.94 is: 2,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.77 : 3,847.16 = 1,528.94 : x
  2. Step 2: Convert to fraction form
    2,787.77/3,847.16 = 1,528.94/x
  3. Step 3: Cross multiply
    2,787.77x = 3,847.16 × 1,528.94
  4. Step 4: Simplify right side
    2,787.77x = 5,882,076.81
  5. Step 5: Solve for x
    x = 5,882,076.81/2,787.77
  6. Step 6: Final answer
    x = 2,109.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.