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Finding the Fourth Proportional to 2,816.65, 4,223.76 and 868.40

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Solution

The fourth proportional to 2,816.65, 4,223.76 and 868.40 is: 1,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.65 : 4,223.76 = 868.40 : x
  2. Step 2: Convert to fraction form
    2,816.65/4,223.76 = 868.40/x
  3. Step 3: Cross multiply
    2,816.65x = 4,223.76 × 868.40
  4. Step 4: Simplify right side
    2,816.65x = 3,667,913.18
  5. Step 5: Solve for x
    x = 3,667,913.18/2,816.65
  6. Step 6: Final answer
    x = 1,302.23

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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.