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Finding the Fourth Proportional to 11,887.36, 16,404 and 7,170.56

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Solution

The fourth proportional to 11,887.36, 16,404 and 7,170.56 is: 9,895.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.36 : 16,404 = 7,170.56 : x
  2. Step 2: Convert to fraction form
    11,887.36/16,404 = 7,170.56/x
  3. Step 3: Cross multiply
    11,887.36x = 16,404 × 7,170.56
  4. Step 4: Simplify right side
    11,887.36x = 117,625,866.24
  5. Step 5: Solve for x
    x = 117,625,866.24/11,887.36
  6. Step 6: Final answer
    x = 9,895.04

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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.