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Finding the Fourth Proportional to 7,649.10, 11,472.34 and 2,101.16

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Solution

The fourth proportional to 7,649.10, 11,472.34 and 2,101.16 is: 3,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.10 : 11,472.34 = 2,101.16 : x
  2. Step 2: Convert to fraction form
    7,649.10/11,472.34 = 2,101.16/x
  3. Step 3: Cross multiply
    7,649.10x = 11,472.34 × 2,101.16
  4. Step 4: Simplify right side
    7,649.10x = 24,105,221.91
  5. Step 5: Solve for x
    x = 24,105,221.91/7,649.10
  6. Step 6: Final answer
    x = 3,151.38

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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.