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Finding the Fourth Proportional to 3,886.86, 5,831.12 and 1,254.52

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Solution

The fourth proportional to 3,886.86, 5,831.12 and 1,254.52 is: 1,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.86 : 5,831.12 = 1,254.52 : x
  2. Step 2: Convert to fraction form
    3,886.86/5,831.12 = 1,254.52/x
  3. Step 3: Cross multiply
    3,886.86x = 5,831.12 × 1,254.52
  4. Step 4: Simplify right side
    3,886.86x = 7,315,245.22
  5. Step 5: Solve for x
    x = 7,315,245.22/3,886.86
  6. Step 6: Final answer
    x = 1,882.04

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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.