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Finding the Fourth Proportional to 6,828.50, 9,425.10 and 4,178.12

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Solution

The fourth proportional to 6,828.50, 9,425.10 and 4,178.12 is: 5,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.50 : 9,425.10 = 4,178.12 : x
  2. Step 2: Convert to fraction form
    6,828.50/9,425.10 = 4,178.12/x
  3. Step 3: Cross multiply
    6,828.50x = 9,425.10 × 4,178.12
  4. Step 4: Simplify right side
    6,828.50x = 39,379,151.69
  5. Step 5: Solve for x
    x = 39,379,151.69/6,828.50
  6. Step 6: Final answer
    x = 5,766.89

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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.