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Finding the Fourth Proportional to 2,840.40, 3,922.20 and 1,794.32

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Solution

The fourth proportional to 2,840.40, 3,922.20 and 1,794.32 is: 2,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.40 : 3,922.20 = 1,794.32 : x
  2. Step 2: Convert to fraction form
    2,840.40/3,922.20 = 1,794.32/x
  3. Step 3: Cross multiply
    2,840.40x = 3,922.20 × 1,794.32
  4. Step 4: Simplify right side
    2,840.40x = 7,037,681.90
  5. Step 5: Solve for x
    x = 7,037,681.90/2,840.40
  6. Step 6: Final answer
    x = 2,477.71

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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.