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Finding the Fourth Proportional to 5,831.12, 8,046.98 and 3,178.44

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Solution

The fourth proportional to 5,831.12, 8,046.98 and 3,178.44 is: 4,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.12 : 8,046.98 = 3,178.44 : x
  2. Step 2: Convert to fraction form
    5,831.12/8,046.98 = 3,178.44/x
  3. Step 3: Cross multiply
    5,831.12x = 8,046.98 × 3,178.44
  4. Step 4: Simplify right side
    5,831.12x = 25,576,839.14
  5. Step 5: Solve for x
    x = 25,576,839.14/5,831.12
  6. Step 6: Final answer
    x = 4,386.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.