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Finding the Fourth Proportional to 7,649.63, 11,474.29 and 2,102.95

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Solution

The fourth proportional to 7,649.63, 11,474.29 and 2,102.95 is: 3,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.63 : 11,474.29 = 2,102.95 : x
  2. Step 2: Convert to fraction form
    7,649.63/11,474.29 = 2,102.95/x
  3. Step 3: Cross multiply
    7,649.63x = 11,474.29 × 2,102.95
  4. Step 4: Simplify right side
    7,649.63x = 24,129,790.27
  5. Step 5: Solve for x
    x = 24,129,790.27/7,649.63
  6. Step 6: Final answer
    x = 3,154.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.