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Finding the Fourth Proportional to 7,692, 11,538.27 and 4,403.58

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Solution

The fourth proportional to 7,692, 11,538.27 and 4,403.58 is: 6,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 11,538.27 = 4,403.58 : x
  2. Step 2: Convert to fraction form
    7,692/11,538.27 = 4,403.58/x
  3. Step 3: Cross multiply
    7,692x = 11,538.27 × 4,403.58
  4. Step 4: Simplify right side
    7,692x = 50,809,695.01
  5. Step 5: Solve for x
    x = 50,809,695.01/7,692
  6. Step 6: Final answer
    x = 6,605.52

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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.