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Finding the Fourth Proportional to 3,021.84, 4,531.94 and 830.05

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Solution

The fourth proportional to 3,021.84, 4,531.94 and 830.05 is: 1,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.84 : 4,531.94 = 830.05 : x
  2. Step 2: Convert to fraction form
    3,021.84/4,531.94 = 830.05/x
  3. Step 3: Cross multiply
    3,021.84x = 4,531.94 × 830.05
  4. Step 4: Simplify right side
    3,021.84x = 3,761,721.32
  5. Step 5: Solve for x
    x = 3,761,721.32/3,021.84
  6. Step 6: Final answer
    x = 1,244.84

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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.