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Finding the Fourth Proportional to 11,699.87, 17,561.95 and 6,779.12

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Solution

The fourth proportional to 11,699.87, 17,561.95 and 6,779.12 is: 10,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.87 : 17,561.95 = 6,779.12 : x
  2. Step 2: Convert to fraction form
    11,699.87/17,561.95 = 6,779.12/x
  3. Step 3: Cross multiply
    11,699.87x = 17,561.95 × 6,779.12
  4. Step 4: Simplify right side
    11,699.87x = 119,054,461.73
  5. Step 5: Solve for x
    x = 119,054,461.73/11,699.87
  6. Step 6: Final answer
    x = 10,175.71

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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.