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Finding the Fourth Proportional to 2,855.14, 4,282.67 and 1,539.51

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Solution

The fourth proportional to 2,855.14, 4,282.67 and 1,539.51 is: 2,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.14 : 4,282.67 = 1,539.51 : x
  2. Step 2: Convert to fraction form
    2,855.14/4,282.67 = 1,539.51/x
  3. Step 3: Cross multiply
    2,855.14x = 4,282.67 × 1,539.51
  4. Step 4: Simplify right side
    2,855.14x = 6,593,184.18
  5. Step 5: Solve for x
    x = 6,593,184.18/2,855.14
  6. Step 6: Final answer
    x = 2,309.23

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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.