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Finding the Fourth Proportional to 8,725.64, 13,088.46 and 4,109

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Solution

The fourth proportional to 8,725.64, 13,088.46 and 4,109 is: 6,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725.64 : 13,088.46 = 4,109 : x
  2. Step 2: Convert to fraction form
    8,725.64/13,088.46 = 4,109/x
  3. Step 3: Cross multiply
    8,725.64x = 13,088.46 × 4,109
  4. Step 4: Simplify right side
    8,725.64x = 53,780,482.14
  5. Step 5: Solve for x
    x = 53,780,482.14/8,725.64
  6. Step 6: Final answer
    x = 6,163.50

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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.