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Finding the Fourth Proportional to 9,477.96, 13,063.89 and 8,683.81

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Solution

The fourth proportional to 9,477.96, 13,063.89 and 8,683.81 is: 11,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.96 : 13,063.89 = 8,683.81 : x
  2. Step 2: Convert to fraction form
    9,477.96/13,063.89 = 8,683.81/x
  3. Step 3: Cross multiply
    9,477.96x = 13,063.89 × 8,683.81
  4. Step 4: Simplify right side
    9,477.96x = 113,444,338.62
  5. Step 5: Solve for x
    x = 113,444,338.62/9,477.96
  6. Step 6: Final answer
    x = 11,969.28

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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.