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Finding the Fourth Proportional to 2,821.56, 4,232.74 and 874.36

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Solution

The fourth proportional to 2,821.56, 4,232.74 and 874.36 is: 1,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.56 : 4,232.74 = 874.36 : x
  2. Step 2: Convert to fraction form
    2,821.56/4,232.74 = 874.36/x
  3. Step 3: Cross multiply
    2,821.56x = 4,232.74 × 874.36
  4. Step 4: Simplify right side
    2,821.56x = 3,700,938.55
  5. Step 5: Solve for x
    x = 3,700,938.55/2,821.56
  6. Step 6: Final answer
    x = 1,311.66

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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.