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Finding the Fourth Proportional to 9,910.13, 13,676.09 and 5,661.75

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Solution

The fourth proportional to 9,910.13, 13,676.09 and 5,661.75 is: 7,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.13 : 13,676.09 = 5,661.75 : x
  2. Step 2: Convert to fraction form
    9,910.13/13,676.09 = 5,661.75/x
  3. Step 3: Cross multiply
    9,910.13x = 13,676.09 × 5,661.75
  4. Step 4: Simplify right side
    9,910.13x = 77,430,602.56
  5. Step 5: Solve for x
    x = 77,430,602.56/9,910.13
  6. Step 6: Final answer
    x = 7,813.28

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1.5x scale

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.