Home / 1,228.37-1,838.30-1,006.43

Finding the Fourth Proportional to 1,228.37, 1,838.30 and 1,006.43

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Solution

The fourth proportional to 1,228.37, 1,838.30 and 1,006.43 is: 1,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.37 : 1,838.30 = 1,006.43 : x
  2. Step 2: Convert to fraction form
    1,228.37/1,838.30 = 1,006.43/x
  3. Step 3: Cross multiply
    1,228.37x = 1,838.30 × 1,006.43
  4. Step 4: Simplify right side
    1,228.37x = 1,850,106.05
  5. Step 5: Solve for x
    x = 1,850,106.05/1,228.37
  6. Step 6: Final answer
    x = 1,506.15

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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.