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Finding the Fourth Proportional to 6,111.24, 8,429.10 and 3,754.68

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Solution

The fourth proportional to 6,111.24, 8,429.10 and 3,754.68 is: 5,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.24 : 8,429.10 = 3,754.68 : x
  2. Step 2: Convert to fraction form
    6,111.24/8,429.10 = 3,754.68/x
  3. Step 3: Cross multiply
    6,111.24x = 8,429.10 × 3,754.68
  4. Step 4: Simplify right side
    6,111.24x = 31,648,573.19
  5. Step 5: Solve for x
    x = 31,648,573.19/6,111.24
  6. Step 6: Final answer
    x = 5,178.75

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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.