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Finding the Fourth Proportional to 3,783.52, 5,221.42 and 3,152.99

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Solution

The fourth proportional to 3,783.52, 5,221.42 and 3,152.99 is: 4,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.52 : 5,221.42 = 3,152.99 : x
  2. Step 2: Convert to fraction form
    3,783.52/5,221.42 = 3,152.99/x
  3. Step 3: Cross multiply
    3,783.52x = 5,221.42 × 3,152.99
  4. Step 4: Simplify right side
    3,783.52x = 16,463,089.66
  5. Step 5: Solve for x
    x = 16,463,089.66/3,783.52
  6. Step 6: Final answer
    x = 4,351.27

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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.