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Finding the Fourth Proportional to 2,846.22, 3,926.84 and 1,666.86

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Solution

The fourth proportional to 2,846.22, 3,926.84 and 1,666.86 is: 2,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.22 : 3,926.84 = 1,666.86 : x
  2. Step 2: Convert to fraction form
    2,846.22/3,926.84 = 1,666.86/x
  3. Step 3: Cross multiply
    2,846.22x = 3,926.84 × 1,666.86
  4. Step 4: Simplify right side
    2,846.22x = 6,545,492.52
  5. Step 5: Solve for x
    x = 6,545,492.52/2,846.22
  6. Step 6: Final answer
    x = 2,299.71

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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.