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Finding the Fourth Proportional to 8,551.68, 11,764.32 and 6,976.32

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Solution

The fourth proportional to 8,551.68, 11,764.32 and 6,976.32 is: 9,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551.68 : 11,764.32 = 6,976.32 : x
  2. Step 2: Convert to fraction form
    8,551.68/11,764.32 = 6,976.32/x
  3. Step 3: Cross multiply
    8,551.68x = 11,764.32 × 6,976.32
  4. Step 4: Simplify right side
    8,551.68x = 82,071,660.90
  5. Step 5: Solve for x
    x = 82,071,660.90/8,551.68
  6. Step 6: Final answer
    x = 9,597.14

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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.