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Finding the Fourth Proportional to 5,991, 8,986.88 and 1,831.15

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Solution

The fourth proportional to 5,991, 8,986.88 and 1,831.15 is: 2,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991 : 8,986.88 = 1,831.15 : x
  2. Step 2: Convert to fraction form
    5,991/8,986.88 = 1,831.15/x
  3. Step 3: Cross multiply
    5,991x = 8,986.88 × 1,831.15
  4. Step 4: Simplify right side
    5,991x = 16,456,325.31
  5. Step 5: Solve for x
    x = 16,456,325.31/5,991
  6. Step 6: Final answer
    x = 2,746.84

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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.