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Finding the Fourth Proportional to 13,836, 20,750.88 and 5,513.76

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Solution

The fourth proportional to 13,836, 20,750.88 and 5,513.76 is: 8,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836 : 20,750.88 = 5,513.76 : x
  2. Step 2: Convert to fraction form
    13,836/20,750.88 = 5,513.76/x
  3. Step 3: Cross multiply
    13,836x = 20,750.88 × 5,513.76
  4. Step 4: Simplify right side
    13,836x = 114,415,372.11
  5. Step 5: Solve for x
    x = 114,415,372.11/13,836
  6. Step 6: Final answer
    x = 8,269.40

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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.