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Finding the Fourth Proportional to 12,295.18, 18,433.32 and 6,365.71

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Solution

The fourth proportional to 12,295.18, 18,433.32 and 6,365.71 is: 9,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.18 : 18,433.32 = 6,365.71 : x
  2. Step 2: Convert to fraction form
    12,295.18/18,433.32 = 6,365.71/x
  3. Step 3: Cross multiply
    12,295.18x = 18,433.32 × 6,365.71
  4. Step 4: Simplify right side
    12,295.18x = 117,341,169.46
  5. Step 5: Solve for x
    x = 117,341,169.46/12,295.18
  6. Step 6: Final answer
    x = 9,543.67

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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.