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Finding the Fourth Proportional to 2,822.52, 4,234.19 and 874.88

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Solution

The fourth proportional to 2,822.52, 4,234.19 and 874.88 is: 1,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.52 : 4,234.19 = 874.88 : x
  2. Step 2: Convert to fraction form
    2,822.52/4,234.19 = 874.88/x
  3. Step 3: Cross multiply
    2,822.52x = 4,234.19 × 874.88
  4. Step 4: Simplify right side
    2,822.52x = 3,704,408.15
  5. Step 5: Solve for x
    x = 3,704,408.15/2,822.52
  6. Step 6: Final answer
    x = 1,312.45

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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.