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Finding the Fourth Proportional to 5,986.39, 8,980.20 and 2,291.71

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Solution

The fourth proportional to 5,986.39, 8,980.20 and 2,291.71 is: 3,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.39 : 8,980.20 = 2,291.71 : x
  2. Step 2: Convert to fraction form
    5,986.39/8,980.20 = 2,291.71/x
  3. Step 3: Cross multiply
    5,986.39x = 8,980.20 × 2,291.71
  4. Step 4: Simplify right side
    5,986.39x = 20,579,969.24
  5. Step 5: Solve for x
    x = 20,579,969.24/5,986.39
  6. Step 6: Final answer
    x = 3,437.80

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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.