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Finding the Fourth Proportional to 12,496.20, 18,735.03 and 7,564.67

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Solution

The fourth proportional to 12,496.20, 18,735.03 and 7,564.67 is: 11,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.20 : 18,735.03 = 7,564.67 : x
  2. Step 2: Convert to fraction form
    12,496.20/18,735.03 = 7,564.67/x
  3. Step 3: Cross multiply
    12,496.20x = 18,735.03 × 7,564.67
  4. Step 4: Simplify right side
    12,496.20x = 141,724,319.39
  5. Step 5: Solve for x
    x = 141,724,319.39/12,496.20
  6. Step 6: Final answer
    x = 11,341.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.