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Finding the Fourth Proportional to 3,813.15, 5,720.27 and 1,865.46

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Solution

The fourth proportional to 3,813.15, 5,720.27 and 1,865.46 is: 2,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.15 : 5,720.27 = 1,865.46 : x
  2. Step 2: Convert to fraction form
    3,813.15/5,720.27 = 1,865.46/x
  3. Step 3: Cross multiply
    3,813.15x = 5,720.27 × 1,865.46
  4. Step 4: Simplify right side
    3,813.15x = 10,670,925.55
  5. Step 5: Solve for x
    x = 10,670,925.55/3,813.15
  6. Step 6: Final answer
    x = 2,798.45

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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.