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Finding the Fourth Proportional to 1,583.12, 2,183.67 and 953.21

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Solution

The fourth proportional to 1,583.12, 2,183.67 and 953.21 is: 1,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.12 : 2,183.67 = 953.21 : x
  2. Step 2: Convert to fraction form
    1,583.12/2,183.67 = 953.21/x
  3. Step 3: Cross multiply
    1,583.12x = 2,183.67 × 953.21
  4. Step 4: Simplify right side
    1,583.12x = 2,081,491.31
  5. Step 5: Solve for x
    x = 2,081,491.31/1,583.12
  6. Step 6: Final answer
    x = 1,314.81

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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.