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Finding the Fourth Proportional to 13,834, 20,747.88 and 5,511.76

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Solution

The fourth proportional to 13,834, 20,747.88 and 5,511.76 is: 8,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834 : 20,747.88 = 5,511.76 : x
  2. Step 2: Convert to fraction form
    13,834/20,747.88 = 5,511.76/x
  3. Step 3: Cross multiply
    13,834x = 20,747.88 × 5,511.76
  4. Step 4: Simplify right side
    13,834x = 114,357,335.07
  5. Step 5: Solve for x
    x = 114,357,335.07/13,834
  6. Step 6: Final answer
    x = 8,266.40

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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.