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Finding the Fourth Proportional to 2,583.90, 3,876.41 and 828.49

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Solution

The fourth proportional to 2,583.90, 3,876.41 and 828.49 is: 1,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.90 : 3,876.41 = 828.49 : x
  2. Step 2: Convert to fraction form
    2,583.90/3,876.41 = 828.49/x
  3. Step 3: Cross multiply
    2,583.90x = 3,876.41 × 828.49
  4. Step 4: Simplify right side
    2,583.90x = 3,211,572.47
  5. Step 5: Solve for x
    x = 3,211,572.47/2,583.90
  6. Step 6: Final answer
    x = 1,242.92

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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.