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Finding the Fourth Proportional to 2,685.61, 3,706.12 and 1,506.68

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Solution

The fourth proportional to 2,685.61, 3,706.12 and 1,506.68 is: 2,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.61 : 3,706.12 = 1,506.68 : x
  2. Step 2: Convert to fraction form
    2,685.61/3,706.12 = 1,506.68/x
  3. Step 3: Cross multiply
    2,685.61x = 3,706.12 × 1,506.68
  4. Step 4: Simplify right side
    2,685.61x = 5,583,936.88
  5. Step 5: Solve for x
    x = 5,583,936.88/2,685.61
  6. Step 6: Final answer
    x = 2,079.21

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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.