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Finding the Fourth Proportional to 3,852.17, 5,779.12 and 1,387

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Solution

The fourth proportional to 3,852.17, 5,779.12 and 1,387 is: 2,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.17 : 5,779.12 = 1,387 : x
  2. Step 2: Convert to fraction form
    3,852.17/5,779.12 = 1,387/x
  3. Step 3: Cross multiply
    3,852.17x = 5,779.12 × 1,387
  4. Step 4: Simplify right side
    3,852.17x = 8,015,639.44
  5. Step 5: Solve for x
    x = 8,015,639.44/3,852.17
  6. Step 6: Final answer
    x = 2,080.81

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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.