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Finding the Fourth Proportional to 7,145.15, 10,715.09 and 2,464.29

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Solution

The fourth proportional to 7,145.15, 10,715.09 and 2,464.29 is: 3,695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.15 : 10,715.09 = 2,464.29 : x
  2. Step 2: Convert to fraction form
    7,145.15/10,715.09 = 2,464.29/x
  3. Step 3: Cross multiply
    7,145.15x = 10,715.09 × 2,464.29
  4. Step 4: Simplify right side
    7,145.15x = 26,405,076.81
  5. Step 5: Solve for x
    x = 26,405,076.81/7,145.15
  6. Step 6: Final answer
    x = 3,695.53

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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.