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Finding the Fourth Proportional to 4,758.80, 7,138.97 and 1,471.13

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Solution

The fourth proportional to 4,758.80, 7,138.97 and 1,471.13 is: 2,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.80 : 7,138.97 = 1,471.13 : x
  2. Step 2: Convert to fraction form
    4,758.80/7,138.97 = 1,471.13/x
  3. Step 3: Cross multiply
    4,758.80x = 7,138.97 × 1,471.13
  4. Step 4: Simplify right side
    4,758.80x = 10,502,352.94
  5. Step 5: Solve for x
    x = 10,502,352.94/4,758.80
  6. Step 6: Final answer
    x = 2,206.93

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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.