Home / 1,723.24-2,586.54-1,609

Finding the Fourth Proportional to 1,723.24, 2,586.54 and 1,609

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Solution

The fourth proportional to 1,723.24, 2,586.54 and 1,609 is: 2,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.24 : 2,586.54 = 1,609 : x
  2. Step 2: Convert to fraction form
    1,723.24/2,586.54 = 1,609/x
  3. Step 3: Cross multiply
    1,723.24x = 2,586.54 × 1,609
  4. Step 4: Simplify right side
    1,723.24x = 4,161,742.86
  5. Step 5: Solve for x
    x = 4,161,742.86/1,723.24
  6. Step 6: Final answer
    x = 2,415.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.