Home / 1,216.38-1,828.22-1,070.58

Finding the Fourth Proportional to 1,216.38, 1,828.22 and 1,070.58

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Solution

The fourth proportional to 1,216.38, 1,828.22 and 1,070.58 is: 1,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.38 : 1,828.22 = 1,070.58 : x
  2. Step 2: Convert to fraction form
    1,216.38/1,828.22 = 1,070.58/x
  3. Step 3: Cross multiply
    1,216.38x = 1,828.22 × 1,070.58
  4. Step 4: Simplify right side
    1,216.38x = 1,957,255.77
  5. Step 5: Solve for x
    x = 1,957,255.77/1,216.38
  6. Step 6: Final answer
    x = 1,609.08

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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.