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Finding the Fourth Proportional to 3,888.48, 5,831.92 and 1,114.54

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Solution

The fourth proportional to 3,888.48, 5,831.92 and 1,114.54 is: 1,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.48 : 5,831.92 = 1,114.54 : x
  2. Step 2: Convert to fraction form
    3,888.48/5,831.92 = 1,114.54/x
  3. Step 3: Cross multiply
    3,888.48x = 5,831.92 × 1,114.54
  4. Step 4: Simplify right side
    3,888.48x = 6,499,892.86
  5. Step 5: Solve for x
    x = 6,499,892.86/3,888.48
  6. Step 6: Final answer
    x = 1,671.58

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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.