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Finding the Fourth Proportional to 1,583.15, 2,183.77 and 985.94

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Solution

The fourth proportional to 1,583.15, 2,183.77 and 985.94 is: 1,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.15 : 2,183.77 = 985.94 : x
  2. Step 2: Convert to fraction form
    1,583.15/2,183.77 = 985.94/x
  3. Step 3: Cross multiply
    1,583.15x = 2,183.77 × 985.94
  4. Step 4: Simplify right side
    1,583.15x = 2,153,072.89
  5. Step 5: Solve for x
    x = 2,153,072.89/1,583.15
  6. Step 6: Final answer
    x = 1,359.99

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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.