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Finding the Fourth Proportional to 3,852.68, 5,779.50 and 1,254.92

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Solution

The fourth proportional to 3,852.68, 5,779.50 and 1,254.92 is: 1,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.68 : 5,779.50 = 1,254.92 : x
  2. Step 2: Convert to fraction form
    3,852.68/5,779.50 = 1,254.92/x
  3. Step 3: Cross multiply
    3,852.68x = 5,779.50 × 1,254.92
  4. Step 4: Simplify right side
    3,852.68x = 7,252,810.14
  5. Step 5: Solve for x
    x = 7,252,810.14/3,852.68
  6. Step 6: Final answer
    x = 1,882.54

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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.