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Finding the Fourth Proportional to 8,707.84, 11,997.12 and 8,293.12

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Solution

The fourth proportional to 8,707.84, 11,997.12 and 8,293.12 is: 11,425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,707.84 : 11,997.12 = 8,293.12 : x
  2. Step 2: Convert to fraction form
    8,707.84/11,997.12 = 8,293.12/x
  3. Step 3: Cross multiply
    8,707.84x = 11,997.12 × 8,293.12
  4. Step 4: Simplify right side
    8,707.84x = 99,493,555.81
  5. Step 5: Solve for x
    x = 99,493,555.81/8,707.84
  6. Step 6: Final answer
    x = 11,425.74

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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.