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Finding the Fourth Proportional to 2,137.84, 3,202.65 and 1,258.48

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Solution

The fourth proportional to 2,137.84, 3,202.65 and 1,258.48 is: 1,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.84 : 3,202.65 = 1,258.48 : x
  2. Step 2: Convert to fraction form
    2,137.84/3,202.65 = 1,258.48/x
  3. Step 3: Cross multiply
    2,137.84x = 3,202.65 × 1,258.48
  4. Step 4: Simplify right side
    2,137.84x = 4,030,470.97
  5. Step 5: Solve for x
    x = 4,030,470.97/2,137.84
  6. Step 6: Final answer
    x = 1,885.30

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1.5x scale

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.