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Finding the Fourth Proportional to 3,807, 5,710.32 and 1,209.60

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Solution

The fourth proportional to 3,807, 5,710.32 and 1,209.60 is: 1,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807 : 5,710.32 = 1,209.60 : x
  2. Step 2: Convert to fraction form
    3,807/5,710.32 = 1,209.60/x
  3. Step 3: Cross multiply
    3,807x = 5,710.32 × 1,209.60
  4. Step 4: Simplify right side
    3,807x = 6,907,203.07
  5. Step 5: Solve for x
    x = 6,907,203.07/3,807
  6. Step 6: Final answer
    x = 1,814.34

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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.