Home / 1,981-2,734.92-1,516.12

Finding the Fourth Proportional to 1,981, 2,734.92 and 1,516.12

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Solution

The fourth proportional to 1,981, 2,734.92 and 1,516.12 is: 2,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981 : 2,734.92 = 1,516.12 : x
  2. Step 2: Convert to fraction form
    1,981/2,734.92 = 1,516.12/x
  3. Step 3: Cross multiply
    1,981x = 2,734.92 × 1,516.12
  4. Step 4: Simplify right side
    1,981x = 4,146,466.91
  5. Step 5: Solve for x
    x = 4,146,466.91/1,981
  6. Step 6: Final answer
    x = 2,093.12

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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.