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Finding the Fourth Proportional to 2,685.80, 3,706.44 and 1,506.80

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Solution

The fourth proportional to 2,685.80, 3,706.44 and 1,506.80 is: 2,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.80 : 3,706.44 = 1,506.80 : x
  2. Step 2: Convert to fraction form
    2,685.80/3,706.44 = 1,506.80/x
  3. Step 3: Cross multiply
    2,685.80x = 3,706.44 × 1,506.80
  4. Step 4: Simplify right side
    2,685.80x = 5,584,863.79
  5. Step 5: Solve for x
    x = 5,584,863.79/2,685.80
  6. Step 6: Final answer
    x = 2,079.40

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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.