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Finding the Fourth Proportional to 11,313.14, 16,980.50 and 6,939.14

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Solution

The fourth proportional to 11,313.14, 16,980.50 and 6,939.14 is: 10,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313.14 : 16,980.50 = 6,939.14 : x
  2. Step 2: Convert to fraction form
    11,313.14/16,980.50 = 6,939.14/x
  3. Step 3: Cross multiply
    11,313.14x = 16,980.50 × 6,939.14
  4. Step 4: Simplify right side
    11,313.14x = 117,829,999.22
  5. Step 5: Solve for x
    x = 117,829,999.22/11,313.14
  6. Step 6: Final answer
    x = 10,415.33

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1.5x scale

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.