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Finding the Fourth Proportional to 9,885.85, 13,619.14 and 6,896.34

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Solution

The fourth proportional to 9,885.85, 13,619.14 and 6,896.34 is: 9,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.85 : 13,619.14 = 6,896.34 : x
  2. Step 2: Convert to fraction form
    9,885.85/13,619.14 = 6,896.34/x
  3. Step 3: Cross multiply
    9,885.85x = 13,619.14 × 6,896.34
  4. Step 4: Simplify right side
    9,885.85x = 93,922,202.71
  5. Step 5: Solve for x
    x = 93,922,202.71/9,885.85
  6. Step 6: Final answer
    x = 9,500.67

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1.5x scale

Why These Related Problems?

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