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Finding the Fourth Proportional to 3,790.80, 5,686.98 and 1,599.51

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Solution

The fourth proportional to 3,790.80, 5,686.98 and 1,599.51 is: 2,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.80 : 5,686.98 = 1,599.51 : x
  2. Step 2: Convert to fraction form
    3,790.80/5,686.98 = 1,599.51/x
  3. Step 3: Cross multiply
    3,790.80x = 5,686.98 × 1,599.51
  4. Step 4: Simplify right side
    3,790.80x = 9,096,381.38
  5. Step 5: Solve for x
    x = 9,096,381.38/3,790.80
  6. Step 6: Final answer
    x = 2,399.59

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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.