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Finding the Fourth Proportional to 3,852.54, 5,781.53 and 3,480.75

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Solution

The fourth proportional to 3,852.54, 5,781.53 and 3,480.75 is: 5,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.54 : 5,781.53 = 3,480.75 : x
  2. Step 2: Convert to fraction form
    3,852.54/5,781.53 = 3,480.75/x
  3. Step 3: Cross multiply
    3,852.54x = 5,781.53 × 3,480.75
  4. Step 4: Simplify right side
    3,852.54x = 20,124,069.25
  5. Step 5: Solve for x
    x = 20,124,069.25/3,852.54
  6. Step 6: Final answer
    x = 5,223.58

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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.