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Finding the Fourth Proportional to 5,986.64, 8,981.40 and 1,882.64

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Solution

The fourth proportional to 5,986.64, 8,981.40 and 1,882.64 is: 2,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.64 : 8,981.40 = 1,882.64 : x
  2. Step 2: Convert to fraction form
    5,986.64/8,981.40 = 1,882.64/x
  3. Step 3: Cross multiply
    5,986.64x = 8,981.40 × 1,882.64
  4. Step 4: Simplify right side
    5,986.64x = 16,908,742.90
  5. Step 5: Solve for x
    x = 16,908,742.90/5,986.64
  6. Step 6: Final answer
    x = 2,824.41

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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.