Home / 2,046-2,821.92-1,258.68

Finding the Fourth Proportional to 2,046, 2,821.92 and 1,258.68

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Solution

The fourth proportional to 2,046, 2,821.92 and 1,258.68 is: 1,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 2,821.92 = 1,258.68 : x
  2. Step 2: Convert to fraction form
    2,046/2,821.92 = 1,258.68/x
  3. Step 3: Cross multiply
    2,046x = 2,821.92 × 1,258.68
  4. Step 4: Simplify right side
    2,046x = 3,551,894.27
  5. Step 5: Solve for x
    x = 3,551,894.27/2,046
  6. Step 6: Final answer
    x = 1,736.02

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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.