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Finding the Fourth Proportional to 2,230.71, 3,078.18 and 1,235.73

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Solution

The fourth proportional to 2,230.71, 3,078.18 and 1,235.73 is: 1,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.71 : 3,078.18 = 1,235.73 : x
  2. Step 2: Convert to fraction form
    2,230.71/3,078.18 = 1,235.73/x
  3. Step 3: Cross multiply
    2,230.71x = 3,078.18 × 1,235.73
  4. Step 4: Simplify right side
    2,230.71x = 3,803,787.83
  5. Step 5: Solve for x
    x = 3,803,787.83/2,230.71
  6. Step 6: Final answer
    x = 1,705.19

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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.