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Finding the Fourth Proportional to 8,653.92, 11,936 and 6,415.88

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Solution

The fourth proportional to 8,653.92, 11,936 and 6,415.88 is: 8,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.92 : 11,936 = 6,415.88 : x
  2. Step 2: Convert to fraction form
    8,653.92/11,936 = 6,415.88/x
  3. Step 3: Cross multiply
    8,653.92x = 11,936 × 6,415.88
  4. Step 4: Simplify right side
    8,653.92x = 76,579,943.68
  5. Step 5: Solve for x
    x = 76,579,943.68/8,653.92
  6. Step 6: Final answer
    x = 8,849.16

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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.