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Finding the Fourth Proportional to 12,827.19, 17,687.60 and 8,342.63

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Solution

The fourth proportional to 12,827.19, 17,687.60 and 8,342.63 is: 11,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.19 : 17,687.60 = 8,342.63 : x
  2. Step 2: Convert to fraction form
    12,827.19/17,687.60 = 8,342.63/x
  3. Step 3: Cross multiply
    12,827.19x = 17,687.60 × 8,342.63
  4. Step 4: Simplify right side
    12,827.19x = 147,561,069.85
  5. Step 5: Solve for x
    x = 147,561,069.85/12,827.19
  6. Step 6: Final answer
    x = 11,503.77

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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.