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Finding the Fourth Proportional to 3,397.68, 4,685 and 2,137.20

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Solution

The fourth proportional to 3,397.68, 4,685 and 2,137.20 is: 2,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.68 : 4,685 = 2,137.20 : x
  2. Step 2: Convert to fraction form
    3,397.68/4,685 = 2,137.20/x
  3. Step 3: Cross multiply
    3,397.68x = 4,685 × 2,137.20
  4. Step 4: Simplify right side
    3,397.68x = 10,012,782
  5. Step 5: Solve for x
    x = 10,012,782/3,397.68
  6. Step 6: Final answer
    x = 2,946.95

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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.