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Finding the Fourth Proportional to 4,758.87, 7,138.38 and 1,471.92

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Solution

The fourth proportional to 4,758.87, 7,138.38 and 1,471.92 is: 2,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.87 : 7,138.38 = 1,471.92 : x
  2. Step 2: Convert to fraction form
    4,758.87/7,138.38 = 1,471.92/x
  3. Step 3: Cross multiply
    4,758.87x = 7,138.38 × 1,471.92
  4. Step 4: Simplify right side
    4,758.87x = 10,507,134.91
  5. Step 5: Solve for x
    x = 10,507,134.91/4,758.87
  6. Step 6: Final answer
    x = 2,207.91

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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.