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Finding the Fourth Proportional to 10,482.75, 15,725.75 and 3,909.87

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Solution

The fourth proportional to 10,482.75, 15,725.75 and 3,909.87 is: 5,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.75 : 15,725.75 = 3,909.87 : x
  2. Step 2: Convert to fraction form
    10,482.75/15,725.75 = 3,909.87/x
  3. Step 3: Cross multiply
    10,482.75x = 15,725.75 × 3,909.87
  4. Step 4: Simplify right side
    10,482.75x = 61,485,618.60
  5. Step 5: Solve for x
    x = 61,485,618.60/10,482.75
  6. Step 6: Final answer
    x = 5,865.41

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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.