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Finding the Fourth Proportional to 13,737.69, 18,958.02 and 7,450.07

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Solution

The fourth proportional to 13,737.69, 18,958.02 and 7,450.07 is: 10,281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.69 : 18,958.02 = 7,450.07 : x
  2. Step 2: Convert to fraction form
    13,737.69/18,958.02 = 7,450.07/x
  3. Step 3: Cross multiply
    13,737.69x = 18,958.02 × 7,450.07
  4. Step 4: Simplify right side
    13,737.69x = 141,238,481.27
  5. Step 5: Solve for x
    x = 141,238,481.27/13,737.69
  6. Step 6: Final answer
    x = 10,281.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.