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Finding the Fourth Proportional to 12,784.57, 17,634.47 and 8,253.03

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Solution

The fourth proportional to 12,784.57, 17,634.47 and 8,253.03 is: 11,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.57 : 17,634.47 = 8,253.03 : x
  2. Step 2: Convert to fraction form
    12,784.57/17,634.47 = 8,253.03/x
  3. Step 3: Cross multiply
    12,784.57x = 17,634.47 × 8,253.03
  4. Step 4: Simplify right side
    12,784.57x = 145,537,809.94
  5. Step 5: Solve for x
    x = 145,537,809.94/12,784.57
  6. Step 6: Final answer
    x = 11,383.86

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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.