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Finding the Fourth Proportional to 1,583.81, 2,185.78 and 911.82

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Solution

The fourth proportional to 1,583.81, 2,185.78 and 911.82 is: 1,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.81 : 2,185.78 = 911.82 : x
  2. Step 2: Convert to fraction form
    1,583.81/2,185.78 = 911.82/x
  3. Step 3: Cross multiply
    1,583.81x = 2,185.78 × 911.82
  4. Step 4: Simplify right side
    1,583.81x = 1,993,035.64
  5. Step 5: Solve for x
    x = 1,993,035.64/1,583.81
  6. Step 6: Final answer
    x = 1,258.38

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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.