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Finding the Fourth Proportional to 4,787.70, 7,163.51 and 4,302.11

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Solution

The fourth proportional to 4,787.70, 7,163.51 and 4,302.11 is: 6,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.70 : 7,163.51 = 4,302.11 : x
  2. Step 2: Convert to fraction form
    4,787.70/7,163.51 = 4,302.11/x
  3. Step 3: Cross multiply
    4,787.70x = 7,163.51 × 4,302.11
  4. Step 4: Simplify right side
    4,787.70x = 30,818,150.68
  5. Step 5: Solve for x
    x = 30,818,150.68/4,787.70
  6. Step 6: Final answer
    x = 6,436.94

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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.