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Finding the Fourth Proportional to 1,852.85, 2,779.28 and 757.21

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Solution

The fourth proportional to 1,852.85, 2,779.28 and 757.21 is: 1,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.85 : 2,779.28 = 757.21 : x
  2. Step 2: Convert to fraction form
    1,852.85/2,779.28 = 757.21/x
  3. Step 3: Cross multiply
    1,852.85x = 2,779.28 × 757.21
  4. Step 4: Simplify right side
    1,852.85x = 2,104,498.30
  5. Step 5: Solve for x
    x = 2,104,498.30/1,852.85
  6. Step 6: Final answer
    x = 1,135.82

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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.