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Finding the Fourth Proportional to 12,908.63, 17,807.35 and 8,435

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Solution

The fourth proportional to 12,908.63, 17,807.35 and 8,435 is: 11,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.63 : 17,807.35 = 8,435 : x
  2. Step 2: Convert to fraction form
    12,908.63/17,807.35 = 8,435/x
  3. Step 3: Cross multiply
    12,908.63x = 17,807.35 × 8,435
  4. Step 4: Simplify right side
    12,908.63x = 150,204,997.25
  5. Step 5: Solve for x
    x = 150,204,997.25/12,908.63
  6. Step 6: Final answer
    x = 11,636.01

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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.