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Finding the Fourth Proportional to 12,291.64, 18,433.86 and 7,025.67

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Solution

The fourth proportional to 12,291.64, 18,433.86 and 7,025.67 is: 10,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.64 : 18,433.86 = 7,025.67 : x
  2. Step 2: Convert to fraction form
    12,291.64/18,433.86 = 7,025.67/x
  3. Step 3: Cross multiply
    12,291.64x = 18,433.86 × 7,025.67
  4. Step 4: Simplify right side
    12,291.64x = 129,510,230.36
  5. Step 5: Solve for x
    x = 129,510,230.36/12,291.64
  6. Step 6: Final answer
    x = 10,536.45

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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.