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Finding the Fourth Proportional to 13,937, 20,911.69 and 5,633.23

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Solution

The fourth proportional to 13,937, 20,911.69 and 5,633.23 is: 8,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937 : 20,911.69 = 5,633.23 : x
  2. Step 2: Convert to fraction form
    13,937/20,911.69 = 5,633.23/x
  3. Step 3: Cross multiply
    13,937x = 20,911.69 × 5,633.23
  4. Step 4: Simplify right side
    13,937x = 117,800,359.46
  5. Step 5: Solve for x
    x = 117,800,359.46/13,937
  6. Step 6: Final answer
    x = 8,452.35

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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.