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Finding the Fourth Proportional to 10,406.25, 15,609.39 and 4,250.25

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Solution

The fourth proportional to 10,406.25, 15,609.39 and 4,250.25 is: 6,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.25 : 15,609.39 = 4,250.25 : x
  2. Step 2: Convert to fraction form
    10,406.25/15,609.39 = 4,250.25/x
  3. Step 3: Cross multiply
    10,406.25x = 15,609.39 × 4,250.25
  4. Step 4: Simplify right side
    10,406.25x = 66,343,809.85
  5. Step 5: Solve for x
    x = 66,343,809.85/10,406.25
  6. Step 6: Final answer
    x = 6,375.38

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1.5x scale

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.