Home / 2,831.02-3,906.83-1,572

Finding the Fourth Proportional to 2,831.02, 3,906.83 and 1,572

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Solution

The fourth proportional to 2,831.02, 3,906.83 and 1,572 is: 2,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.02 : 3,906.83 = 1,572 : x
  2. Step 2: Convert to fraction form
    2,831.02/3,906.83 = 1,572/x
  3. Step 3: Cross multiply
    2,831.02x = 3,906.83 × 1,572
  4. Step 4: Simplify right side
    2,831.02x = 6,141,536.76
  5. Step 5: Solve for x
    x = 6,141,536.76/2,831.02
  6. Step 6: Final answer
    x = 2,169.37

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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.