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Finding the Fourth Proportional to 5,978.63, 8,965.18 and 1,817.71

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Solution

The fourth proportional to 5,978.63, 8,965.18 and 1,817.71 is: 2,725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.63 : 8,965.18 = 1,817.71 : x
  2. Step 2: Convert to fraction form
    5,978.63/8,965.18 = 1,817.71/x
  3. Step 3: Cross multiply
    5,978.63x = 8,965.18 × 1,817.71
  4. Step 4: Simplify right side
    5,978.63x = 16,296,077.20
  5. Step 5: Solve for x
    x = 16,296,077.20/5,978.63
  6. Step 6: Final answer
    x = 2,725.72

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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.