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Finding the Fourth Proportional to 7,166.36, 9,888.92 and 4,182.44

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Solution

The fourth proportional to 7,166.36, 9,888.92 and 4,182.44 is: 5,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.36 : 9,888.92 = 4,182.44 : x
  2. Step 2: Convert to fraction form
    7,166.36/9,888.92 = 4,182.44/x
  3. Step 3: Cross multiply
    7,166.36x = 9,888.92 × 4,182.44
  4. Step 4: Simplify right side
    7,166.36x = 41,359,814.56
  5. Step 5: Solve for x
    x = 41,359,814.56/7,166.36
  6. Step 6: Final answer
    x = 5,771.38

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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.