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Finding the Fourth Proportional to 7,012.64, 9,676.23 and 4,179.66

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Solution

The fourth proportional to 7,012.64, 9,676.23 and 4,179.66 is: 5,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.64 : 9,676.23 = 4,179.66 : x
  2. Step 2: Convert to fraction form
    7,012.64/9,676.23 = 4,179.66/x
  3. Step 3: Cross multiply
    7,012.64x = 9,676.23 × 4,179.66
  4. Step 4: Simplify right side
    7,012.64x = 40,443,351.48
  5. Step 5: Solve for x
    x = 40,443,351.48/7,012.64
  6. Step 6: Final answer
    x = 5,767.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.