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Finding the Fourth Proportional to 12,807.46, 19,213.80 and 7,263.46

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Solution

The fourth proportional to 12,807.46, 19,213.80 and 7,263.46 is: 10,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.46 : 19,213.80 = 7,263.46 : x
  2. Step 2: Convert to fraction form
    12,807.46/19,213.80 = 7,263.46/x
  3. Step 3: Cross multiply
    12,807.46x = 19,213.80 × 7,263.46
  4. Step 4: Simplify right side
    12,807.46x = 139,558,667.75
  5. Step 5: Solve for x
    x = 139,558,667.75/12,807.46
  6. Step 6: Final answer
    x = 10,896.67

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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.