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Finding the Fourth Proportional to 3,784.96, 5,223.16 and 2,106.32

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Solution

The fourth proportional to 3,784.96, 5,223.16 and 2,106.32 is: 2,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.96 : 5,223.16 = 2,106.32 : x
  2. Step 2: Convert to fraction form
    3,784.96/5,223.16 = 2,106.32/x
  3. Step 3: Cross multiply
    3,784.96x = 5,223.16 × 2,106.32
  4. Step 4: Simplify right side
    3,784.96x = 11,001,646.37
  5. Step 5: Solve for x
    x = 11,001,646.37/3,784.96
  6. Step 6: Final answer
    x = 2,906.67

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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.