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Finding the Fourth Proportional to 13,898.52, 20,834.08 and 9,219.89

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Solution

The fourth proportional to 13,898.52, 20,834.08 and 9,219.89 is: 13,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.52 : 20,834.08 = 9,219.89 : x
  2. Step 2: Convert to fraction form
    13,898.52/20,834.08 = 9,219.89/x
  3. Step 3: Cross multiply
    13,898.52x = 20,834.08 × 9,219.89
  4. Step 4: Simplify right side
    13,898.52x = 192,087,954.89
  5. Step 5: Solve for x
    x = 192,087,954.89/13,898.52
  6. Step 6: Final answer
    x = 13,820.75

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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.