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Finding the Fourth Proportional to 3,411.51, 5,116.15 and 1,331

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Solution

The fourth proportional to 3,411.51, 5,116.15 and 1,331 is: 1,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.51 : 5,116.15 = 1,331 : x
  2. Step 2: Convert to fraction form
    3,411.51/5,116.15 = 1,331/x
  3. Step 3: Cross multiply
    3,411.51x = 5,116.15 × 1,331
  4. Step 4: Simplify right side
    3,411.51x = 6,809,595.65
  5. Step 5: Solve for x
    x = 6,809,595.65/3,411.51
  6. Step 6: Final answer
    x = 1,996.06

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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.