Home / 1,648.34-2,273.19-1,289.46

Finding the Fourth Proportional to 1,648.34, 2,273.19 and 1,289.46

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Solution

The fourth proportional to 1,648.34, 2,273.19 and 1,289.46 is: 1,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.34 : 2,273.19 = 1,289.46 : x
  2. Step 2: Convert to fraction form
    1,648.34/2,273.19 = 1,289.46/x
  3. Step 3: Cross multiply
    1,648.34x = 2,273.19 × 1,289.46
  4. Step 4: Simplify right side
    1,648.34x = 2,931,187.58
  5. Step 5: Solve for x
    x = 2,931,187.58/1,648.34
  6. Step 6: Final answer
    x = 1,778.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.