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Finding the Fourth Proportional to 7,524.85, 10,384.23 and 4,212.85

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Solution

The fourth proportional to 7,524.85, 10,384.23 and 4,212.85 is: 5,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.85 : 10,384.23 = 4,212.85 : x
  2. Step 2: Convert to fraction form
    7,524.85/10,384.23 = 4,212.85/x
  3. Step 3: Cross multiply
    7,524.85x = 10,384.23 × 4,212.85
  4. Step 4: Simplify right side
    7,524.85x = 43,747,203.36
  5. Step 5: Solve for x
    x = 43,747,203.36/7,524.85
  6. Step 6: Final answer
    x = 5,813.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.