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Finding the Fourth Proportional to 7,773.89, 10,734.29 and 6,338.49

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Solution

The fourth proportional to 7,773.89, 10,734.29 and 6,338.49 is: 8,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.89 : 10,734.29 = 6,338.49 : x
  2. Step 2: Convert to fraction form
    7,773.89/10,734.29 = 6,338.49/x
  3. Step 3: Cross multiply
    7,773.89x = 10,734.29 × 6,338.49
  4. Step 4: Simplify right side
    7,773.89x = 68,039,141.65
  5. Step 5: Solve for x
    x = 68,039,141.65/7,773.89
  6. Step 6: Final answer
    x = 8,752.27

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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.