Home / 2,137.12-3,206.10-838.60

Finding the Fourth Proportional to 2,137.12, 3,206.10 and 838.60

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Solution

The fourth proportional to 2,137.12, 3,206.10 and 838.60 is: 1,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.12 : 3,206.10 = 838.60 : x
  2. Step 2: Convert to fraction form
    2,137.12/3,206.10 = 838.60/x
  3. Step 3: Cross multiply
    2,137.12x = 3,206.10 × 838.60
  4. Step 4: Simplify right side
    2,137.12x = 2,688,635.46
  5. Step 5: Solve for x
    x = 2,688,635.46/2,137.12
  6. Step 6: Final answer
    x = 1,258.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.