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Finding the Fourth Proportional to 7,186.10, 10,779.16 and 1,991.98

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Solution

The fourth proportional to 7,186.10, 10,779.16 and 1,991.98 is: 2,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.10 : 10,779.16 = 1,991.98 : x
  2. Step 2: Convert to fraction form
    7,186.10/10,779.16 = 1,991.98/x
  3. Step 3: Cross multiply
    7,186.10x = 10,779.16 × 1,991.98
  4. Step 4: Simplify right side
    7,186.10x = 21,471,871.14
  5. Step 5: Solve for x
    x = 21,471,871.14/7,186.10
  6. Step 6: Final answer
    x = 2,987.97

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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.