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Finding the Fourth Proportional to 11,508.53, 15,880.61 and 6,471.95

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Solution

The fourth proportional to 11,508.53, 15,880.61 and 6,471.95 is: 8,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.53 : 15,880.61 = 6,471.95 : x
  2. Step 2: Convert to fraction form
    11,508.53/15,880.61 = 6,471.95/x
  3. Step 3: Cross multiply
    11,508.53x = 15,880.61 × 6,471.95
  4. Step 4: Simplify right side
    11,508.53x = 102,778,450.67
  5. Step 5: Solve for x
    x = 102,778,450.67/11,508.53
  6. Step 6: Final answer
    x = 8,930.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.