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Finding the Fourth Proportional to 10,689.56, 16,036.20 and 4,768.56

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Solution

The fourth proportional to 10,689.56, 16,036.20 and 4,768.56 is: 7,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.56 : 16,036.20 = 4,768.56 : x
  2. Step 2: Convert to fraction form
    10,689.56/16,036.20 = 4,768.56/x
  3. Step 3: Cross multiply
    10,689.56x = 16,036.20 × 4,768.56
  4. Step 4: Simplify right side
    10,689.56x = 76,469,581.87
  5. Step 5: Solve for x
    x = 76,469,581.87/10,689.56
  6. Step 6: Final answer
    x = 7,153.67

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Why These Related Problems?

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