Home / 2,831.84-3,908.12-1,573

Finding the Fourth Proportional to 2,831.84, 3,908.12 and 1,573

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Solution

The fourth proportional to 2,831.84, 3,908.12 and 1,573 is: 2,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.84 : 3,908.12 = 1,573 : x
  2. Step 2: Convert to fraction form
    2,831.84/3,908.12 = 1,573/x
  3. Step 3: Cross multiply
    2,831.84x = 3,908.12 × 1,573
  4. Step 4: Simplify right side
    2,831.84x = 6,147,472.76
  5. Step 5: Solve for x
    x = 6,147,472.76/2,831.84
  6. Step 6: Final answer
    x = 2,170.84

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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.