Home / 1,682.08-2,315.76-1,604

Finding the Fourth Proportional to 1,682.08, 2,315.76 and 1,604

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Solution

The fourth proportional to 1,682.08, 2,315.76 and 1,604 is: 2,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.08 : 2,315.76 = 1,604 : x
  2. Step 2: Convert to fraction form
    1,682.08/2,315.76 = 1,604/x
  3. Step 3: Cross multiply
    1,682.08x = 2,315.76 × 1,604
  4. Step 4: Simplify right side
    1,682.08x = 3,714,479.04
  5. Step 5: Solve for x
    x = 3,714,479.04/1,682.08
  6. Step 6: Final answer
    x = 2,208.27

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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.