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Finding the Fourth Proportional to 2,322.99, 3,205.74 and 1,328.30

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Solution

The fourth proportional to 2,322.99, 3,205.74 and 1,328.30 is: 1,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.99 : 3,205.74 = 1,328.30 : x
  2. Step 2: Convert to fraction form
    2,322.99/3,205.74 = 1,328.30/x
  3. Step 3: Cross multiply
    2,322.99x = 3,205.74 × 1,328.30
  4. Step 4: Simplify right side
    2,322.99x = 4,258,184.44
  5. Step 5: Solve for x
    x = 4,258,184.44/2,322.99
  6. Step 6: Final answer
    x = 1,833.06

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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.