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Finding the Fourth Proportional to 2,168.82, 2,977.29 and 2,114.46

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Solution

The fourth proportional to 2,168.82, 2,977.29 and 2,114.46 is: 2,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.82 : 2,977.29 = 2,114.46 : x
  2. Step 2: Convert to fraction form
    2,168.82/2,977.29 = 2,114.46/x
  3. Step 3: Cross multiply
    2,168.82x = 2,977.29 × 2,114.46
  4. Step 4: Simplify right side
    2,168.82x = 6,295,360.61
  5. Step 5: Solve for x
    x = 6,295,360.61/2,168.82
  6. Step 6: Final answer
    x = 2,902.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.