Home / 1,433.12-2,148.22-815.54

Finding the Fourth Proportional to 1,433.12, 2,148.22 and 815.54

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Solution

The fourth proportional to 1,433.12, 2,148.22 and 815.54 is: 1,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.12 : 2,148.22 = 815.54 : x
  2. Step 2: Convert to fraction form
    1,433.12/2,148.22 = 815.54/x
  3. Step 3: Cross multiply
    1,433.12x = 2,148.22 × 815.54
  4. Step 4: Simplify right side
    1,433.12x = 1,751,959.34
  5. Step 5: Solve for x
    x = 1,751,959.34/1,433.12
  6. Step 6: Final answer
    x = 1,222.48

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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.