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Finding the Fourth Proportional to 11,918.16, 16,431.92 and 8,519.28

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Solution

The fourth proportional to 11,918.16, 16,431.92 and 8,519.28 is: 11,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.16 : 16,431.92 = 8,519.28 : x
  2. Step 2: Convert to fraction form
    11,918.16/16,431.92 = 8,519.28/x
  3. Step 3: Cross multiply
    11,918.16x = 16,431.92 × 8,519.28
  4. Step 4: Simplify right side
    11,918.16x = 139,988,127.42
  5. Step 5: Solve for x
    x = 139,988,127.42/11,918.16
  6. Step 6: Final answer
    x = 11,745.78

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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.