Home / 1,506.64-2,078.40-982.84

Finding the Fourth Proportional to 1,506.64, 2,078.40 and 982.84

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Solution

The fourth proportional to 1,506.64, 2,078.40 and 982.84 is: 1,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.64 : 2,078.40 = 982.84 : x
  2. Step 2: Convert to fraction form
    1,506.64/2,078.40 = 982.84/x
  3. Step 3: Cross multiply
    1,506.64x = 2,078.40 × 982.84
  4. Step 4: Simplify right side
    1,506.64x = 2,042,734.66
  5. Step 5: Solve for x
    x = 2,042,734.66/1,506.64
  6. Step 6: Final answer
    x = 1,355.82

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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.