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Finding the Fourth Proportional to 10,406.10, 15,609.15 and 3,480.60

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Solution

The fourth proportional to 10,406.10, 15,609.15 and 3,480.60 is: 5,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.10 : 15,609.15 = 3,480.60 : x
  2. Step 2: Convert to fraction form
    10,406.10/15,609.15 = 3,480.60/x
  3. Step 3: Cross multiply
    10,406.10x = 15,609.15 × 3,480.60
  4. Step 4: Simplify right side
    10,406.10x = 54,329,207.49
  5. Step 5: Solve for x
    x = 54,329,207.49/10,406.10
  6. Step 6: Final answer
    x = 5,220.90

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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.