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Finding the Fourth Proportional to 2,685.54, 3,706.08 and 1,506.57

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Solution

The fourth proportional to 2,685.54, 3,706.08 and 1,506.57 is: 2,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.54 : 3,706.08 = 1,506.57 : x
  2. Step 2: Convert to fraction form
    2,685.54/3,706.08 = 1,506.57/x
  3. Step 3: Cross multiply
    2,685.54x = 3,706.08 × 1,506.57
  4. Step 4: Simplify right side
    2,685.54x = 5,583,468.95
  5. Step 5: Solve for x
    x = 5,583,468.95/2,685.54
  6. Step 6: Final answer
    x = 2,079.09

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1.5x scale

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.