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Finding the Fourth Proportional to 10,609.20, 15,915.60 and 3,213.60

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Solution

The fourth proportional to 10,609.20, 15,915.60 and 3,213.60 is: 4,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.20 : 15,915.60 = 3,213.60 : x
  2. Step 2: Convert to fraction form
    10,609.20/15,915.60 = 3,213.60/x
  3. Step 3: Cross multiply
    10,609.20x = 15,915.60 × 3,213.60
  4. Step 4: Simplify right side
    10,609.20x = 51,146,372.16
  5. Step 5: Solve for x
    x = 51,146,372.16/10,609.20
  6. Step 6: Final answer
    x = 4,820.95

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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.