Home / 2,172.15-3,258.56-785.84

Finding the Fourth Proportional to 2,172.15, 3,258.56 and 785.84

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Solution

The fourth proportional to 2,172.15, 3,258.56 and 785.84 is: 1,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.15 : 3,258.56 = 785.84 : x
  2. Step 2: Convert to fraction form
    2,172.15/3,258.56 = 785.84/x
  3. Step 3: Cross multiply
    2,172.15x = 3,258.56 × 785.84
  4. Step 4: Simplify right side
    2,172.15x = 2,560,692.46
  5. Step 5: Solve for x
    x = 2,560,692.46/2,172.15
  6. Step 6: Final answer
    x = 1,178.87

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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.