Home / 1,221.26-1,830.18-946.09

Finding the Fourth Proportional to 1,221.26, 1,830.18 and 946.09

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Solution

The fourth proportional to 1,221.26, 1,830.18 and 946.09 is: 1,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.26 : 1,830.18 = 946.09 : x
  2. Step 2: Convert to fraction form
    1,221.26/1,830.18 = 946.09/x
  3. Step 3: Cross multiply
    1,221.26x = 1,830.18 × 946.09
  4. Step 4: Simplify right side
    1,221.26x = 1,731,515.00
  5. Step 5: Solve for x
    x = 1,731,515.00/1,221.26
  6. Step 6: Final answer
    x = 1,417.81

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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.