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Finding the Fourth Proportional to 13,950, 20,925.36 and 5,516.16

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Solution

The fourth proportional to 13,950, 20,925.36 and 5,516.16 is: 8,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950 : 20,925.36 = 5,516.16 : x
  2. Step 2: Convert to fraction form
    13,950/20,925.36 = 5,516.16/x
  3. Step 3: Cross multiply
    13,950x = 20,925.36 × 5,516.16
  4. Step 4: Simplify right side
    13,950x = 115,427,633.82
  5. Step 5: Solve for x
    x = 115,427,633.82/13,950
  6. Step 6: Final answer
    x = 8,274.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.