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Finding the Fourth Proportional to 2,640.09, 3,642.12 and 1,855.20

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Solution

The fourth proportional to 2,640.09, 3,642.12 and 1,855.20 is: 2,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.09 : 3,642.12 = 1,855.20 : x
  2. Step 2: Convert to fraction form
    2,640.09/3,642.12 = 1,855.20/x
  3. Step 3: Cross multiply
    2,640.09x = 3,642.12 × 1,855.20
  4. Step 4: Simplify right side
    2,640.09x = 6,756,861.02
  5. Step 5: Solve for x
    x = 6,756,861.02/2,640.09
  6. Step 6: Final answer
    x = 2,559.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.