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Finding the Fourth Proportional to 1,881.70, 2,824.15 and 843.30

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Solution

The fourth proportional to 1,881.70, 2,824.15 and 843.30 is: 1,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.70 : 2,824.15 = 843.30 : x
  2. Step 2: Convert to fraction form
    1,881.70/2,824.15 = 843.30/x
  3. Step 3: Cross multiply
    1,881.70x = 2,824.15 × 843.30
  4. Step 4: Simplify right side
    1,881.70x = 2,381,605.70
  5. Step 5: Solve for x
    x = 2,381,605.70/1,881.70
  6. Step 6: Final answer
    x = 1,265.67

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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.