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Finding the Fourth Proportional to 3,765.85, 5,650.78 and 2,835.01

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Solution

The fourth proportional to 3,765.85, 5,650.78 and 2,835.01 is: 4,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.85 : 5,650.78 = 2,835.01 : x
  2. Step 2: Convert to fraction form
    3,765.85/5,650.78 = 2,835.01/x
  3. Step 3: Cross multiply
    3,765.85x = 5,650.78 × 2,835.01
  4. Step 4: Simplify right side
    3,765.85x = 16,020,017.81
  5. Step 5: Solve for x
    x = 16,020,017.81/3,765.85
  6. Step 6: Final answer
    x = 4,254.02

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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.