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Finding the Fourth Proportional to 2,071.44, 3,106.98 and 839.16

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Solution

The fourth proportional to 2,071.44, 3,106.98 and 839.16 is: 1,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.44 : 3,106.98 = 839.16 : x
  2. Step 2: Convert to fraction form
    2,071.44/3,106.98 = 839.16/x
  3. Step 3: Cross multiply
    2,071.44x = 3,106.98 × 839.16
  4. Step 4: Simplify right side
    2,071.44x = 2,607,253.34
  5. Step 5: Solve for x
    x = 2,607,253.34/2,071.44
  6. Step 6: Final answer
    x = 1,258.67

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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.