Home / 2,071.23-3,104.68-838.14

Finding the Fourth Proportional to 2,071.23, 3,104.68 and 838.14

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Solution

The fourth proportional to 2,071.23, 3,104.68 and 838.14 is: 1,256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.23 : 3,104.68 = 838.14 : x
  2. Step 2: Convert to fraction form
    2,071.23/3,104.68 = 838.14/x
  3. Step 3: Cross multiply
    2,071.23x = 3,104.68 × 838.14
  4. Step 4: Simplify right side
    2,071.23x = 2,602,156.50
  5. Step 5: Solve for x
    x = 2,602,156.50/2,071.23
  6. Step 6: Final answer
    x = 1,256.33

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1.5x scale

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.