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Finding the Fourth Proportional to 11,947, 17,804.75 and 11,324.92

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Solution

The fourth proportional to 11,947, 17,804.75 and 11,324.92 is: 16,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947 : 17,804.75 = 11,324.92 : x
  2. Step 2: Convert to fraction form
    11,947/17,804.75 = 11,324.92/x
  3. Step 3: Cross multiply
    11,947x = 17,804.75 × 11,324.92
  4. Step 4: Simplify right side
    11,947x = 201,637,369.37
  5. Step 5: Solve for x
    x = 201,637,369.37/11,947
  6. Step 6: Final answer
    x = 16,877.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.