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Finding the Fourth Proportional to 2,161.85, 3,242.54 and 601.67

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Solution

The fourth proportional to 2,161.85, 3,242.54 and 601.67 is: 902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.85 : 3,242.54 = 601.67 : x
  2. Step 2: Convert to fraction form
    2,161.85/3,242.54 = 601.67/x
  3. Step 3: Cross multiply
    2,161.85x = 3,242.54 × 601.67
  4. Step 4: Simplify right side
    2,161.85x = 1,950,919.82
  5. Step 5: Solve for x
    x = 1,950,919.82/2,161.85
  6. Step 6: Final answer
    x = 902.43

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1.5x scale

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.