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Finding the Fourth Proportional to 10,880.64, 16,310.64 and 4,310.88

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Solution

The fourth proportional to 10,880.64, 16,310.64 and 4,310.88 is: 6,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.64 : 16,310.64 = 4,310.88 : x
  2. Step 2: Convert to fraction form
    10,880.64/16,310.64 = 4,310.88/x
  3. Step 3: Cross multiply
    10,880.64x = 16,310.64 × 4,310.88
  4. Step 4: Simplify right side
    10,880.64x = 70,313,211.76
  5. Step 5: Solve for x
    x = 70,313,211.76/10,880.64
  6. Step 6: Final answer
    x = 6,462.23

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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.