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Finding the Fourth Proportional to 11,308.80, 16,964.80 and 4,384

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Solution

The fourth proportional to 11,308.80, 16,964.80 and 4,384 is: 6,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.80 : 16,964.80 = 4,384 : x
  2. Step 2: Convert to fraction form
    11,308.80/16,964.80 = 4,384/x
  3. Step 3: Cross multiply
    11,308.80x = 16,964.80 × 4,384
  4. Step 4: Simplify right side
    11,308.80x = 74,373,683.20
  5. Step 5: Solve for x
    x = 74,373,683.20/11,308.80
  6. Step 6: Final answer
    x = 6,576.62

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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.