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Finding the Fourth Proportional to 13,689.56, 18,896.28 and 8,026.14

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Solution

The fourth proportional to 13,689.56, 18,896.28 and 8,026.14 is: 11,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.56 : 18,896.28 = 8,026.14 : x
  2. Step 2: Convert to fraction form
    13,689.56/18,896.28 = 8,026.14/x
  3. Step 3: Cross multiply
    13,689.56x = 18,896.28 × 8,026.14
  4. Step 4: Simplify right side
    13,689.56x = 151,664,188.76
  5. Step 5: Solve for x
    x = 151,664,188.76/13,689.56
  6. Step 6: Final answer
    x = 11,078.82

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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.