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Finding the Fourth Proportional to 3,784.87, 5,223.09 and 2,106.25

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Solution

The fourth proportional to 3,784.87, 5,223.09 and 2,106.25 is: 2,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.87 : 5,223.09 = 2,106.25 : x
  2. Step 2: Convert to fraction form
    3,784.87/5,223.09 = 2,106.25/x
  3. Step 3: Cross multiply
    3,784.87x = 5,223.09 × 2,106.25
  4. Step 4: Simplify right side
    3,784.87x = 11,001,125.07
  5. Step 5: Solve for x
    x = 11,001,125.07/3,784.87
  6. Step 6: Final answer
    x = 2,906.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.