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Finding the Fourth Proportional to 12,783.57, 17,633.09 and 8,252.03

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Solution

The fourth proportional to 12,783.57, 17,633.09 and 8,252.03 is: 11,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.57 : 17,633.09 = 8,252.03 : x
  2. Step 2: Convert to fraction form
    12,783.57/17,633.09 = 8,252.03/x
  3. Step 3: Cross multiply
    12,783.57x = 17,633.09 × 8,252.03
  4. Step 4: Simplify right side
    12,783.57x = 145,508,753.20
  5. Step 5: Solve for x
    x = 145,508,753.20/12,783.57
  6. Step 6: Final answer
    x = 11,382.48

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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.