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Finding the Fourth Proportional to 10,661.64, 14,710.80 and 5,945.80

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Solution

The fourth proportional to 10,661.64, 14,710.80 and 5,945.80 is: 8,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.64 : 14,710.80 = 5,945.80 : x
  2. Step 2: Convert to fraction form
    10,661.64/14,710.80 = 5,945.80/x
  3. Step 3: Cross multiply
    10,661.64x = 14,710.80 × 5,945.80
  4. Step 4: Simplify right side
    10,661.64x = 87,467,474.64
  5. Step 5: Solve for x
    x = 87,467,474.64/10,661.64
  6. Step 6: Final answer
    x = 8,203.94

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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.