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Finding the Fourth Proportional to 18,658.50, 27,989.37 and 4,807.50

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Solution

The fourth proportional to 18,658.50, 27,989.37 and 4,807.50 is: 7,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.50 : 27,989.37 = 4,807.50 : x
  2. Step 2: Convert to fraction form
    18,658.50/27,989.37 = 4,807.50/x
  3. Step 3: Cross multiply
    18,658.50x = 27,989.37 × 4,807.50
  4. Step 4: Simplify right side
    18,658.50x = 134,558,896.28
  5. Step 5: Solve for x
    x = 134,558,896.28/18,658.50
  6. Step 6: Final answer
    x = 7,211.67

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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.