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Finding the Fourth Proportional to 3,509.00, 5,256.62 and 2,812.42

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Solution

The fourth proportional to 3,509.00, 5,256.62 and 2,812.42 is: 4,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.00 : 5,256.62 = 2,812.42 : x
  2. Step 2: Convert to fraction form
    3,509.00/5,256.62 = 2,812.42/x
  3. Step 3: Cross multiply
    3,509.00x = 5,256.62 × 2,812.42
  4. Step 4: Simplify right side
    3,509.00x = 14,783,834.19
  5. Step 5: Solve for x
    x = 14,783,834.19/3,509.00
  6. Step 6: Final answer
    x = 4,213.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.