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Finding the Fourth Proportional to 11,911.10, 16,437.06 and 6,605.80

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Solution

The fourth proportional to 11,911.10, 16,437.06 and 6,605.80 is: 9,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.10 : 16,437.06 = 6,605.80 : x
  2. Step 2: Convert to fraction form
    11,911.10/16,437.06 = 6,605.80/x
  3. Step 3: Cross multiply
    11,911.10x = 16,437.06 × 6,605.80
  4. Step 4: Simplify right side
    11,911.10x = 108,579,889.86
  5. Step 5: Solve for x
    x = 108,579,889.86/11,911.10
  6. Step 6: Final answer
    x = 9,115.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.