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Finding the Fourth Proportional to 8,688.96, 11,976.48 and 7,114.32

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Solution

The fourth proportional to 8,688.96, 11,976.48 and 7,114.32 is: 9,806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,688.96 : 11,976.48 = 7,114.32 : x
  2. Step 2: Convert to fraction form
    8,688.96/11,976.48 = 7,114.32/x
  3. Step 3: Cross multiply
    8,688.96x = 11,976.48 × 7,114.32
  4. Step 4: Simplify right side
    8,688.96x = 85,204,511.19
  5. Step 5: Solve for x
    x = 85,204,511.19/8,688.96
  6. Step 6: Final answer
    x = 9,806.07

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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.