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Finding the Fourth Proportional to 11,005.50, 16,483.50 and 6,613.68

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Solution

The fourth proportional to 11,005.50, 16,483.50 and 6,613.68 is: 9,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.50 : 16,483.50 = 6,613.68 : x
  2. Step 2: Convert to fraction form
    11,005.50/16,483.50 = 6,613.68/x
  3. Step 3: Cross multiply
    11,005.50x = 16,483.50 × 6,613.68
  4. Step 4: Simplify right side
    11,005.50x = 109,016,594.28
  5. Step 5: Solve for x
    x = 109,016,594.28/11,005.50
  6. Step 6: Final answer
    x = 9,905.65

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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.