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Finding the Fourth Proportional to 4,472.87, 6,709.31 and 1,186.22

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Solution

The fourth proportional to 4,472.87, 6,709.31 and 1,186.22 is: 1,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.87 : 6,709.31 = 1,186.22 : x
  2. Step 2: Convert to fraction form
    4,472.87/6,709.31 = 1,186.22/x
  3. Step 3: Cross multiply
    4,472.87x = 6,709.31 × 1,186.22
  4. Step 4: Simplify right side
    4,472.87x = 7,958,710.79
  5. Step 5: Solve for x
    x = 7,958,710.79/4,472.87
  6. Step 6: Final answer
    x = 1,779.33

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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.