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Finding the Fourth Proportional to 7,725.50, 10,661.22 and 4,188.68

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Solution

The fourth proportional to 7,725.50, 10,661.22 and 4,188.68 is: 5,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.50 : 10,661.22 = 4,188.68 : x
  2. Step 2: Convert to fraction form
    7,725.50/10,661.22 = 4,188.68/x
  3. Step 3: Cross multiply
    7,725.50x = 10,661.22 × 4,188.68
  4. Step 4: Simplify right side
    7,725.50x = 44,656,438.99
  5. Step 5: Solve for x
    x = 44,656,438.99/7,725.50
  6. Step 6: Final answer
    x = 5,780.39

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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.