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Finding the Fourth Proportional to 10,378.42, 14,322 and 5,662.60

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Solution

The fourth proportional to 10,378.42, 14,322 and 5,662.60 is: 7,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.42 : 14,322 = 5,662.60 : x
  2. Step 2: Convert to fraction form
    10,378.42/14,322 = 5,662.60/x
  3. Step 3: Cross multiply
    10,378.42x = 14,322 × 5,662.60
  4. Step 4: Simplify right side
    10,378.42x = 81,099,757.20
  5. Step 5: Solve for x
    x = 81,099,757.20/10,378.42
  6. Step 6: Final answer
    x = 7,814.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.