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Finding the Fourth Proportional to 2,822.40, 4,232.52 and 874.62

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Solution

The fourth proportional to 2,822.40, 4,232.52 and 874.62 is: 1,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.40 : 4,232.52 = 874.62 : x
  2. Step 2: Convert to fraction form
    2,822.40/4,232.52 = 874.62/x
  3. Step 3: Cross multiply
    2,822.40x = 4,232.52 × 874.62
  4. Step 4: Simplify right side
    2,822.40x = 3,701,846.64
  5. Step 5: Solve for x
    x = 3,701,846.64/2,822.40
  6. Step 6: Final answer
    x = 1,311.60

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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.