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Finding the Fourth Proportional to 2,230.77, 3,078.21 and 1,235.80

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Solution

The fourth proportional to 2,230.77, 3,078.21 and 1,235.80 is: 1,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.77 : 3,078.21 = 1,235.80 : x
  2. Step 2: Convert to fraction form
    2,230.77/3,078.21 = 1,235.80/x
  3. Step 3: Cross multiply
    2,230.77x = 3,078.21 × 1,235.80
  4. Step 4: Simplify right side
    2,230.77x = 3,804,056.55
  5. Step 5: Solve for x
    x = 3,804,056.55/2,230.77
  6. Step 6: Final answer
    x = 1,705.27

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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.