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Finding the Fourth Proportional to 1,853.89, 2,779.62 and 757.15

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Solution

The fourth proportional to 1,853.89, 2,779.62 and 757.15 is: 1,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.89 : 2,779.62 = 757.15 : x
  2. Step 2: Convert to fraction form
    1,853.89/2,779.62 = 757.15/x
  3. Step 3: Cross multiply
    1,853.89x = 2,779.62 × 757.15
  4. Step 4: Simplify right side
    1,853.89x = 2,104,579.49
  5. Step 5: Solve for x
    x = 2,104,579.49/1,853.89
  6. Step 6: Final answer
    x = 1,135.23

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1.5x scale

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.