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Finding the Fourth Proportional to 3,800.52, 5,699.36 and 1,852.07

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Solution

The fourth proportional to 3,800.52, 5,699.36 and 1,852.07 is: 2,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.52 : 5,699.36 = 1,852.07 : x
  2. Step 2: Convert to fraction form
    3,800.52/5,699.36 = 1,852.07/x
  3. Step 3: Cross multiply
    3,800.52x = 5,699.36 × 1,852.07
  4. Step 4: Simplify right side
    3,800.52x = 10,555,589.81
  5. Step 5: Solve for x
    x = 10,555,589.81/3,800.52
  6. Step 6: Final answer
    x = 2,777.41

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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.