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Finding the Fourth Proportional to 10,394.36, 15,583.32 and 5,461.32

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Solution

The fourth proportional to 10,394.36, 15,583.32 and 5,461.32 is: 8,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.36 : 15,583.32 = 5,461.32 : x
  2. Step 2: Convert to fraction form
    10,394.36/15,583.32 = 5,461.32/x
  3. Step 3: Cross multiply
    10,394.36x = 15,583.32 × 5,461.32
  4. Step 4: Simplify right side
    10,394.36x = 85,105,555.62
  5. Step 5: Solve for x
    x = 85,105,555.62/10,394.36
  6. Step 6: Final answer
    x = 8,187.67

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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.