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Finding the Fourth Proportional to 3,835.96, 5,754.71 and 1,370.71

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Solution

The fourth proportional to 3,835.96, 5,754.71 and 1,370.71 is: 2,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.96 : 5,754.71 = 1,370.71 : x
  2. Step 2: Convert to fraction form
    3,835.96/5,754.71 = 1,370.71/x
  3. Step 3: Cross multiply
    3,835.96x = 5,754.71 × 1,370.71
  4. Step 4: Simplify right side
    3,835.96x = 7,888,038.54
  5. Step 5: Solve for x
    x = 7,888,038.54/3,835.96
  6. Step 6: Final answer
    x = 2,056.34

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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.