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Finding the Fourth Proportional to 13,737.78, 18,958.11 and 7,450.17

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Solution

The fourth proportional to 13,737.78, 18,958.11 and 7,450.17 is: 10,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.78 : 18,958.11 = 7,450.17 : x
  2. Step 2: Convert to fraction form
    13,737.78/18,958.11 = 7,450.17/x
  3. Step 3: Cross multiply
    13,737.78x = 18,958.11 × 7,450.17
  4. Step 4: Simplify right side
    13,737.78x = 141,241,142.38
  5. Step 5: Solve for x
    x = 141,241,142.38/13,737.78
  6. Step 6: Final answer
    x = 10,281.22

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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.