Home / 2,072.68-3,106.14-1,045.48

Finding the Fourth Proportional to 2,072.68, 3,106.14 and 1,045.48

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Solution

The fourth proportional to 2,072.68, 3,106.14 and 1,045.48 is: 1,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.68 : 3,106.14 = 1,045.48 : x
  2. Step 2: Convert to fraction form
    2,072.68/3,106.14 = 1,045.48/x
  3. Step 3: Cross multiply
    2,072.68x = 3,106.14 × 1,045.48
  4. Step 4: Simplify right side
    2,072.68x = 3,247,407.25
  5. Step 5: Solve for x
    x = 3,247,407.25/2,072.68
  6. Step 6: Final answer
    x = 1,566.77

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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.