Home / 1,582.41-2,184.75-1,288.38

Finding the Fourth Proportional to 1,582.41, 2,184.75 and 1,288.38

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Solution

The fourth proportional to 1,582.41, 2,184.75 and 1,288.38 is: 1,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.41 : 2,184.75 = 1,288.38 : x
  2. Step 2: Convert to fraction form
    1,582.41/2,184.75 = 1,288.38/x
  3. Step 3: Cross multiply
    1,582.41x = 2,184.75 × 1,288.38
  4. Step 4: Simplify right side
    1,582.41x = 2,814,788.21
  5. Step 5: Solve for x
    x = 2,814,788.21/1,582.41
  6. Step 6: Final answer
    x = 1,778.80

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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.