Home / 2,148.81-3,226.83-1,409.68

Finding the Fourth Proportional to 2,148.81, 3,226.83 and 1,409.68

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Solution

The fourth proportional to 2,148.81, 3,226.83 and 1,409.68 is: 2,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.81 : 3,226.83 = 1,409.68 : x
  2. Step 2: Convert to fraction form
    2,148.81/3,226.83 = 1,409.68/x
  3. Step 3: Cross multiply
    2,148.81x = 3,226.83 × 1,409.68
  4. Step 4: Simplify right side
    2,148.81x = 4,548,797.71
  5. Step 5: Solve for x
    x = 4,548,797.71/2,148.81
  6. Step 6: Final answer
    x = 2,116.89

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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.