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Finding the Fourth Proportional to 7,478.67, 10,310.97 and 6,129.31

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Solution

The fourth proportional to 7,478.67, 10,310.97 and 6,129.31 is: 8,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.67 : 10,310.97 = 6,129.31 : x
  2. Step 2: Convert to fraction form
    7,478.67/10,310.97 = 6,129.31/x
  3. Step 3: Cross multiply
    7,478.67x = 10,310.97 × 6,129.31
  4. Step 4: Simplify right side
    7,478.67x = 63,199,146.85
  5. Step 5: Solve for x
    x = 63,199,146.85/7,478.67
  6. Step 6: Final answer
    x = 8,450.59

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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.