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Finding the Fourth Proportional to 10,649.60, 15,981.60 and 5,969.60

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Solution

The fourth proportional to 10,649.60, 15,981.60 and 5,969.60 is: 8,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.60 : 15,981.60 = 5,969.60 : x
  2. Step 2: Convert to fraction form
    10,649.60/15,981.60 = 5,969.60/x
  3. Step 3: Cross multiply
    10,649.60x = 15,981.60 × 5,969.60
  4. Step 4: Simplify right side
    10,649.60x = 95,403,759.36
  5. Step 5: Solve for x
    x = 95,403,759.36/10,649.60
  6. Step 6: Final answer
    x = 8,958.44

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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.