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Finding the Fourth Proportional to 12,862.37, 17,747.16 and 8,143.94

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Solution

The fourth proportional to 12,862.37, 17,747.16 and 8,143.94 is: 11,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.37 : 17,747.16 = 8,143.94 : x
  2. Step 2: Convert to fraction form
    12,862.37/17,747.16 = 8,143.94/x
  3. Step 3: Cross multiply
    12,862.37x = 17,747.16 × 8,143.94
  4. Step 4: Simplify right side
    12,862.37x = 144,531,806.21
  5. Step 5: Solve for x
    x = 144,531,806.21/12,862.37
  6. Step 6: Final answer
    x = 11,236.79

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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.