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Finding the Fourth Proportional to 7,384.14, 11,077.74 and 3,486.42

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Solution

The fourth proportional to 7,384.14, 11,077.74 and 3,486.42 is: 5,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.14 : 11,077.74 = 3,486.42 : x
  2. Step 2: Convert to fraction form
    7,384.14/11,077.74 = 3,486.42/x
  3. Step 3: Cross multiply
    7,384.14x = 11,077.74 × 3,486.42
  4. Step 4: Simplify right side
    7,384.14x = 38,621,654.29
  5. Step 5: Solve for x
    x = 38,621,654.29/7,384.14
  6. Step 6: Final answer
    x = 5,230.35

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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.