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Finding the Fourth Proportional to 2,685.39, 3,705.92 and 1,506.54

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Solution

The fourth proportional to 2,685.39, 3,705.92 and 1,506.54 is: 2,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.39 : 3,705.92 = 1,506.54 : x
  2. Step 2: Convert to fraction form
    2,685.39/3,705.92 = 1,506.54/x
  3. Step 3: Cross multiply
    2,685.39x = 3,705.92 × 1,506.54
  4. Step 4: Simplify right side
    2,685.39x = 5,583,116.72
  5. Step 5: Solve for x
    x = 5,583,116.72/2,685.39
  6. Step 6: Final answer
    x = 2,079.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.