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Finding the Fourth Proportional to 2,816.55, 4,224.87 and 868.77

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Solution

The fourth proportional to 2,816.55, 4,224.87 and 868.77 is: 1,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.55 : 4,224.87 = 868.77 : x
  2. Step 2: Convert to fraction form
    2,816.55/4,224.87 = 868.77/x
  3. Step 3: Cross multiply
    2,816.55x = 4,224.87 × 868.77
  4. Step 4: Simplify right side
    2,816.55x = 3,670,440.31
  5. Step 5: Solve for x
    x = 3,670,440.31/2,816.55
  6. Step 6: Final answer
    x = 1,303.17

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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.