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Finding the Fourth Proportional to 2,085.33, 3,125.68 and 852.45

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Solution

The fourth proportional to 2,085.33, 3,125.68 and 852.45 is: 1,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.33 : 3,125.68 = 852.45 : x
  2. Step 2: Convert to fraction form
    2,085.33/3,125.68 = 852.45/x
  3. Step 3: Cross multiply
    2,085.33x = 3,125.68 × 852.45
  4. Step 4: Simplify right side
    2,085.33x = 2,664,485.92
  5. Step 5: Solve for x
    x = 2,664,485.92/2,085.33
  6. Step 6: Final answer
    x = 1,277.73

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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.