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Finding the Fourth Proportional to 1,611.83, 2,209.84 and 1,582.67

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Solution

The fourth proportional to 1,611.83, 2,209.84 and 1,582.67 is: 2,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.83 : 2,209.84 = 1,582.67 : x
  2. Step 2: Convert to fraction form
    1,611.83/2,209.84 = 1,582.67/x
  3. Step 3: Cross multiply
    1,611.83x = 2,209.84 × 1,582.67
  4. Step 4: Simplify right side
    1,611.83x = 3,497,457.94
  5. Step 5: Solve for x
    x = 3,497,457.94/1,611.83
  6. Step 6: Final answer
    x = 2,169.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.