Home / 2,552.09-3,831.77-1,457.78

Finding the Fourth Proportional to 2,552.09, 3,831.77 and 1,457.78

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Solution

The fourth proportional to 2,552.09, 3,831.77 and 1,457.78 is: 2,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.09 : 3,831.77 = 1,457.78 : x
  2. Step 2: Convert to fraction form
    2,552.09/3,831.77 = 1,457.78/x
  3. Step 3: Cross multiply
    2,552.09x = 3,831.77 × 1,457.78
  4. Step 4: Simplify right side
    2,552.09x = 5,585,862.16
  5. Step 5: Solve for x
    x = 5,585,862.16/2,552.09
  6. Step 6: Final answer
    x = 2,188.74

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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.