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Finding the Fourth Proportional to 18,608.64, 27,886.30 and 14,429.07

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Solution

The fourth proportional to 18,608.64, 27,886.30 and 14,429.07 is: 21,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,608.64 : 27,886.30 = 14,429.07 : x
  2. Step 2: Convert to fraction form
    18,608.64/27,886.30 = 14,429.07/x
  3. Step 3: Cross multiply
    18,608.64x = 27,886.30 × 14,429.07
  4. Step 4: Simplify right side
    18,608.64x = 402,373,496.90
  5. Step 5: Solve for x
    x = 402,373,496.90/18,608.64
  6. Step 6: Final answer
    x = 21,622.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.