Home / 1,226.98-1,828.78-1,157.80

Finding the Fourth Proportional to 1,226.98, 1,828.78 and 1,157.80

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Solution

The fourth proportional to 1,226.98, 1,828.78 and 1,157.80 is: 1,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.98 : 1,828.78 = 1,157.80 : x
  2. Step 2: Convert to fraction form
    1,226.98/1,828.78 = 1,157.80/x
  3. Step 3: Cross multiply
    1,226.98x = 1,828.78 × 1,157.80
  4. Step 4: Simplify right side
    1,226.98x = 2,117,361.48
  5. Step 5: Solve for x
    x = 2,117,361.48/1,226.98
  6. Step 6: Final answer
    x = 1,725.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.