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Finding the Fourth Proportional to 3,870, 5,805.96 and 1,134

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Solution

The fourth proportional to 3,870, 5,805.96 and 1,134 is: 1,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 5,805.96 = 1,134 : x
  2. Step 2: Convert to fraction form
    3,870/5,805.96 = 1,134/x
  3. Step 3: Cross multiply
    3,870x = 5,805.96 × 1,134
  4. Step 4: Simplify right side
    3,870x = 6,583,958.64
  5. Step 5: Solve for x
    x = 6,583,958.64/3,870
  6. Step 6: Final answer
    x = 1,701.28

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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.