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Finding the Fourth Proportional to 2,173.13, 3,258.68 and 786.08

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Solution

The fourth proportional to 2,173.13, 3,258.68 and 786.08 is: 1,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.13 : 3,258.68 = 786.08 : x
  2. Step 2: Convert to fraction form
    2,173.13/3,258.68 = 786.08/x
  3. Step 3: Cross multiply
    2,173.13x = 3,258.68 × 786.08
  4. Step 4: Simplify right side
    2,173.13x = 2,561,579.24
  5. Step 5: Solve for x
    x = 2,561,579.24/2,173.13
  6. Step 6: Final answer
    x = 1,178.75

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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.