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Finding the Fourth Proportional to 10,660, 14,710.80 and 5,944.60

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Solution

The fourth proportional to 10,660, 14,710.80 and 5,944.60 is: 8,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660 : 14,710.80 = 5,944.60 : x
  2. Step 2: Convert to fraction form
    10,660/14,710.80 = 5,944.60/x
  3. Step 3: Cross multiply
    10,660x = 14,710.80 × 5,944.60
  4. Step 4: Simplify right side
    10,660x = 87,449,821.68
  5. Step 5: Solve for x
    x = 87,449,821.68/10,660
  6. Step 6: Final answer
    x = 8,203.55

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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.