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Finding the Fourth Proportional to 2,173.08, 3,258.73 and 785.92

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Solution

The fourth proportional to 2,173.08, 3,258.73 and 785.92 is: 1,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.08 : 3,258.73 = 785.92 : x
  2. Step 2: Convert to fraction form
    2,173.08/3,258.73 = 785.92/x
  3. Step 3: Cross multiply
    2,173.08x = 3,258.73 × 785.92
  4. Step 4: Simplify right side
    2,173.08x = 2,561,101.08
  5. Step 5: Solve for x
    x = 2,561,101.08/2,173.08
  6. Step 6: Final answer
    x = 1,178.56

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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.