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Finding the Fourth Proportional to 2,161.68, 2,984.21 and 1,376.79

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Solution

The fourth proportional to 2,161.68, 2,984.21 and 1,376.79 is: 1,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.68 : 2,984.21 = 1,376.79 : x
  2. Step 2: Convert to fraction form
    2,161.68/2,984.21 = 1,376.79/x
  3. Step 3: Cross multiply
    2,161.68x = 2,984.21 × 1,376.79
  4. Step 4: Simplify right side
    2,161.68x = 4,108,630.49
  5. Step 5: Solve for x
    x = 4,108,630.49/2,161.68
  6. Step 6: Final answer
    x = 1,900.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.