Home / 10,405.09-15,609.19-3,830.78

Finding the Fourth Proportional to 10,405.09, 15,609.19 and 3,830.78

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Solution

The fourth proportional to 10,405.09, 15,609.19 and 3,830.78 is: 5,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.09 : 15,609.19 = 3,830.78 : x
  2. Step 2: Convert to fraction form
    10,405.09/15,609.19 = 3,830.78/x
  3. Step 3: Cross multiply
    10,405.09x = 15,609.19 × 3,830.78
  4. Step 4: Simplify right side
    10,405.09x = 59,795,372.87
  5. Step 5: Solve for x
    x = 59,795,372.87/10,405.09
  6. Step 6: Final answer
    x = 5,746.74

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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.