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Finding the Fourth Proportional to 5,145.63, 7,100.97 and 2,787.75

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Solution

The fourth proportional to 5,145.63, 7,100.97 and 2,787.75 is: 3,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.63 : 7,100.97 = 2,787.75 : x
  2. Step 2: Convert to fraction form
    5,145.63/7,100.97 = 2,787.75/x
  3. Step 3: Cross multiply
    5,145.63x = 7,100.97 × 2,787.75
  4. Step 4: Simplify right side
    5,145.63x = 19,795,718.66
  5. Step 5: Solve for x
    x = 19,795,718.66/5,145.63
  6. Step 6: Final answer
    x = 3,847.10

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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.