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Finding the Fourth Proportional to 18,639.16, 25,720.86 and 11,563

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Solution

The fourth proportional to 18,639.16, 25,720.86 and 11,563 is: 15,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,639.16 : 25,720.86 = 11,563 : x
  2. Step 2: Convert to fraction form
    18,639.16/25,720.86 = 11,563/x
  3. Step 3: Cross multiply
    18,639.16x = 25,720.86 × 11,563
  4. Step 4: Simplify right side
    18,639.16x = 297,410,304.18
  5. Step 5: Solve for x
    x = 297,410,304.18/18,639.16
  6. Step 6: Final answer
    x = 15,956.21

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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.