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Finding the Fourth Proportional to 10,914, 16,370.28 and 3,516.48

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Solution

The fourth proportional to 10,914, 16,370.28 and 3,516.48 is: 5,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914 : 16,370.28 = 3,516.48 : x
  2. Step 2: Convert to fraction form
    10,914/16,370.28 = 3,516.48/x
  3. Step 3: Cross multiply
    10,914x = 16,370.28 × 3,516.48
  4. Step 4: Simplify right side
    10,914x = 57,565,762.21
  5. Step 5: Solve for x
    x = 57,565,762.21/10,914
  6. Step 6: Final answer
    x = 5,274.49

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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.