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Finding the Fourth Proportional to 3,846.98, 5,770.35 and 1,383.40

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Solution

The fourth proportional to 3,846.98, 5,770.35 and 1,383.40 is: 2,075.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.98 : 5,770.35 = 1,383.40 : x
  2. Step 2: Convert to fraction form
    3,846.98/5,770.35 = 1,383.40/x
  3. Step 3: Cross multiply
    3,846.98x = 5,770.35 × 1,383.40
  4. Step 4: Simplify right side
    3,846.98x = 7,982,702.19
  5. Step 5: Solve for x
    x = 7,982,702.19/3,846.98
  6. Step 6: Final answer
    x = 2,075.06

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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.