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Finding the Fourth Proportional to 10,983.60, 16,464.60 and 5,437.80

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Solution

The fourth proportional to 10,983.60, 16,464.60 and 5,437.80 is: 8,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.60 : 16,464.60 = 5,437.80 : x
  2. Step 2: Convert to fraction form
    10,983.60/16,464.60 = 5,437.80/x
  3. Step 3: Cross multiply
    10,983.60x = 16,464.60 × 5,437.80
  4. Step 4: Simplify right side
    10,983.60x = 89,531,201.88
  5. Step 5: Solve for x
    x = 89,531,201.88/10,983.60
  6. Step 6: Final answer
    x = 8,151.35

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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.