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Finding the Fourth Proportional to 11,896.78, 16,417.98 and 7,180.14

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Solution

The fourth proportional to 11,896.78, 16,417.98 and 7,180.14 is: 9,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.78 : 16,417.98 = 7,180.14 : x
  2. Step 2: Convert to fraction form
    11,896.78/16,417.98 = 7,180.14/x
  3. Step 3: Cross multiply
    11,896.78x = 16,417.98 × 7,180.14
  4. Step 4: Simplify right side
    11,896.78x = 117,883,394.92
  5. Step 5: Solve for x
    x = 117,883,394.92/11,896.78
  6. Step 6: Final answer
    x = 9,908.85

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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.