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Finding the Fourth Proportional to 7,574.85, 11,354.94 and 3,878.82

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Solution

The fourth proportional to 7,574.85, 11,354.94 and 3,878.82 is: 5,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.85 : 11,354.94 = 3,878.82 : x
  2. Step 2: Convert to fraction form
    7,574.85/11,354.94 = 3,878.82/x
  3. Step 3: Cross multiply
    7,574.85x = 11,354.94 × 3,878.82
  4. Step 4: Simplify right side
    7,574.85x = 44,043,768.37
  5. Step 5: Solve for x
    x = 44,043,768.37/7,574.85
  6. Step 6: Final answer
    x = 5,814.47

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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.