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Finding the Fourth Proportional to 13,955, 20,942.10 and 5,747

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Solution

The fourth proportional to 13,955, 20,942.10 and 5,747 is: 8,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,955 : 20,942.10 = 5,747 : x
  2. Step 2: Convert to fraction form
    13,955/20,942.10 = 5,747/x
  3. Step 3: Cross multiply
    13,955x = 20,942.10 × 5,747
  4. Step 4: Simplify right side
    13,955x = 120,354,248.70
  5. Step 5: Solve for x
    x = 120,354,248.70/13,955
  6. Step 6: Final answer
    x = 8,624.45

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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.