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Finding the Fourth Proportional to 3,848.87, 5,774.35 and 1,383.72

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Solution

The fourth proportional to 3,848.87, 5,774.35 and 1,383.72 is: 2,075.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.87 : 5,774.35 = 1,383.72 : x
  2. Step 2: Convert to fraction form
    3,848.87/5,774.35 = 1,383.72/x
  3. Step 3: Cross multiply
    3,848.87x = 5,774.35 × 1,383.72
  4. Step 4: Simplify right side
    3,848.87x = 7,990,080.12
  5. Step 5: Solve for x
    x = 7,990,080.12/3,848.87
  6. Step 6: Final answer
    x = 2,075.95

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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.