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Finding the Fourth Proportional to 12,030, 18,043.64 and 3,709.32

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Solution

The fourth proportional to 12,030, 18,043.64 and 3,709.32 is: 5,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030 : 18,043.64 = 3,709.32 : x
  2. Step 2: Convert to fraction form
    12,030/18,043.64 = 3,709.32/x
  3. Step 3: Cross multiply
    12,030x = 18,043.64 × 3,709.32
  4. Step 4: Simplify right side
    12,030x = 66,929,634.72
  5. Step 5: Solve for x
    x = 66,929,634.72/12,030
  6. Step 6: Final answer
    x = 5,563.56

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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.