Home / 2,556-3,831.57-2,006.82

Finding the Fourth Proportional to 2,556, 3,831.57 and 2,006.82

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Solution

The fourth proportional to 2,556, 3,831.57 and 2,006.82 is: 3,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556 : 3,831.57 = 2,006.82 : x
  2. Step 2: Convert to fraction form
    2,556/3,831.57 = 2,006.82/x
  3. Step 3: Cross multiply
    2,556x = 3,831.57 × 2,006.82
  4. Step 4: Simplify right side
    2,556x = 7,689,271.31
  5. Step 5: Solve for x
    x = 7,689,271.31/2,556
  6. Step 6: Final answer
    x = 3,008.32

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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.