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Finding the Fourth Proportional to 1,822.63, 2,515.23 and 994.63

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Solution

The fourth proportional to 1,822.63, 2,515.23 and 994.63 is: 1,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.63 : 2,515.23 = 994.63 : x
  2. Step 2: Convert to fraction form
    1,822.63/2,515.23 = 994.63/x
  3. Step 3: Cross multiply
    1,822.63x = 2,515.23 × 994.63
  4. Step 4: Simplify right side
    1,822.63x = 2,501,723.21
  5. Step 5: Solve for x
    x = 2,501,723.21/1,822.63
  6. Step 6: Final answer
    x = 1,372.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.