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Finding the Fourth Proportional to 7,415.81, 10,234.25 and 4,230.08

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Solution

The fourth proportional to 7,415.81, 10,234.25 and 4,230.08 is: 5,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.81 : 10,234.25 = 4,230.08 : x
  2. Step 2: Convert to fraction form
    7,415.81/10,234.25 = 4,230.08/x
  3. Step 3: Cross multiply
    7,415.81x = 10,234.25 × 4,230.08
  4. Step 4: Simplify right side
    7,415.81x = 43,291,696.24
  5. Step 5: Solve for x
    x = 43,291,696.24/7,415.81
  6. Step 6: Final answer
    x = 5,837.76

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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.