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Finding the Fourth Proportional to 3,989.64, 5,985.74 and 1,216.84

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Solution

The fourth proportional to 3,989.64, 5,985.74 and 1,216.84 is: 1,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.64 : 5,985.74 = 1,216.84 : x
  2. Step 2: Convert to fraction form
    3,989.64/5,985.74 = 1,216.84/x
  3. Step 3: Cross multiply
    3,989.64x = 5,985.74 × 1,216.84
  4. Step 4: Simplify right side
    3,989.64x = 7,283,687.86
  5. Step 5: Solve for x
    x = 7,283,687.86/3,989.64
  6. Step 6: Final answer
    x = 1,825.65

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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.