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Finding the Fourth Proportional to 13,737.76, 18,958 and 7,450.13

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Solution

The fourth proportional to 13,737.76, 18,958 and 7,450.13 is: 10,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.76 : 18,958 = 7,450.13 : x
  2. Step 2: Convert to fraction form
    13,737.76/18,958 = 7,450.13/x
  3. Step 3: Cross multiply
    13,737.76x = 18,958 × 7,450.13
  4. Step 4: Simplify right side
    13,737.76x = 141,239,564.54
  5. Step 5: Solve for x
    x = 141,239,564.54/13,737.76
  6. Step 6: Final answer
    x = 10,281.12

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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.