Home / 2,121.09-3,181.60-871.43

Finding the Fourth Proportional to 2,121.09, 3,181.60 and 871.43

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Solution

The fourth proportional to 2,121.09, 3,181.60 and 871.43 is: 1,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.09 : 3,181.60 = 871.43 : x
  2. Step 2: Convert to fraction form
    2,121.09/3,181.60 = 871.43/x
  3. Step 3: Cross multiply
    2,121.09x = 3,181.60 × 871.43
  4. Step 4: Simplify right side
    2,121.09x = 2,772,541.69
  5. Step 5: Solve for x
    x = 2,772,541.69/2,121.09
  6. Step 6: Final answer
    x = 1,307.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.