Home / 1,664.82-2,291.90-1,442.88

Finding the Fourth Proportional to 1,664.82, 2,291.90 and 1,442.88

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Solution

The fourth proportional to 1,664.82, 2,291.90 and 1,442.88 is: 1,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.82 : 2,291.90 = 1,442.88 : x
  2. Step 2: Convert to fraction form
    1,664.82/2,291.90 = 1,442.88/x
  3. Step 3: Cross multiply
    1,664.82x = 2,291.90 × 1,442.88
  4. Step 4: Simplify right side
    1,664.82x = 3,306,929.46
  5. Step 5: Solve for x
    x = 3,306,929.46/1,664.82
  6. Step 6: Final answer
    x = 1,986.36

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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.