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Finding the Fourth Proportional to 2,935.50, 4,404.06 and 1,396.50

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Solution

The fourth proportional to 2,935.50, 4,404.06 and 1,396.50 is: 2,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.50 : 4,404.06 = 1,396.50 : x
  2. Step 2: Convert to fraction form
    2,935.50/4,404.06 = 1,396.50/x
  3. Step 3: Cross multiply
    2,935.50x = 4,404.06 × 1,396.50
  4. Step 4: Simplify right side
    2,935.50x = 6,150,269.79
  5. Step 5: Solve for x
    x = 6,150,269.79/2,935.50
  6. Step 6: Final answer
    x = 2,095.14

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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.