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Finding the Fourth Proportional to 2,390.41, 3,583.20 and 829.64

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Solution

The fourth proportional to 2,390.41, 3,583.20 and 829.64 is: 1,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.41 : 3,583.20 = 829.64 : x
  2. Step 2: Convert to fraction form
    2,390.41/3,583.20 = 829.64/x
  3. Step 3: Cross multiply
    2,390.41x = 3,583.20 × 829.64
  4. Step 4: Simplify right side
    2,390.41x = 2,972,778.12
  5. Step 5: Solve for x
    x = 2,972,778.12/2,390.41
  6. Step 6: Final answer
    x = 1,243.63

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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.