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Finding the Fourth Proportional to 3,807.63, 5,713.20 and 2,345.85

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Solution

The fourth proportional to 3,807.63, 5,713.20 and 2,345.85 is: 3,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.63 : 5,713.20 = 2,345.85 : x
  2. Step 2: Convert to fraction form
    3,807.63/5,713.20 = 2,345.85/x
  3. Step 3: Cross multiply
    3,807.63x = 5,713.20 × 2,345.85
  4. Step 4: Simplify right side
    3,807.63x = 13,402,310.22
  5. Step 5: Solve for x
    x = 13,402,310.22/3,807.63
  6. Step 6: Final answer
    x = 3,519.86

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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.