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Finding the Fourth Proportional to 3,021.79, 4,532.14 and 800.64

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Solution

The fourth proportional to 3,021.79, 4,532.14 and 800.64 is: 1,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.79 : 4,532.14 = 800.64 : x
  2. Step 2: Convert to fraction form
    3,021.79/4,532.14 = 800.64/x
  3. Step 3: Cross multiply
    3,021.79x = 4,532.14 × 800.64
  4. Step 4: Simplify right side
    3,021.79x = 3,628,612.57
  5. Step 5: Solve for x
    x = 3,628,612.57/3,021.79
  6. Step 6: Final answer
    x = 1,200.82

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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.