Home / 1,540.89-2,127.13-982.11

Finding the Fourth Proportional to 1,540.89, 2,127.13 and 982.11

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Solution

The fourth proportional to 1,540.89, 2,127.13 and 982.11 is: 1,355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.89 : 2,127.13 = 982.11 : x
  2. Step 2: Convert to fraction form
    1,540.89/2,127.13 = 982.11/x
  3. Step 3: Cross multiply
    1,540.89x = 2,127.13 × 982.11
  4. Step 4: Simplify right side
    1,540.89x = 2,089,081.17
  5. Step 5: Solve for x
    x = 2,089,081.17/1,540.89
  6. Step 6: Final answer
    x = 1,355.76

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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.