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Finding the Fourth Proportional to 2,322.87, 3,500.21 and 1,920.99

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Solution

The fourth proportional to 2,322.87, 3,500.21 and 1,920.99 is: 2,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.87 : 3,500.21 = 1,920.99 : x
  2. Step 2: Convert to fraction form
    2,322.87/3,500.21 = 1,920.99/x
  3. Step 3: Cross multiply
    2,322.87x = 3,500.21 × 1,920.99
  4. Step 4: Simplify right side
    2,322.87x = 6,723,868.41
  5. Step 5: Solve for x
    x = 6,723,868.41/2,322.87
  6. Step 6: Final answer
    x = 2,894.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.