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Finding the Fourth Proportional to 2,071.06, 3,106.60 and 511.11

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Solution

The fourth proportional to 2,071.06, 3,106.60 and 511.11 is: 766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.06 : 3,106.60 = 511.11 : x
  2. Step 2: Convert to fraction form
    2,071.06/3,106.60 = 511.11/x
  3. Step 3: Cross multiply
    2,071.06x = 3,106.60 × 511.11
  4. Step 4: Simplify right side
    2,071.06x = 1,587,814.33
  5. Step 5: Solve for x
    x = 1,587,814.33/2,071.06
  6. Step 6: Final answer
    x = 766.67

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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.