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Finding the Fourth Proportional to 7,642.59, 11,441.16 and 6,840.77

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Solution

The fourth proportional to 7,642.59, 11,441.16 and 6,840.77 is: 10,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.59 : 11,441.16 = 6,840.77 : x
  2. Step 2: Convert to fraction form
    7,642.59/11,441.16 = 6,840.77/x
  3. Step 3: Cross multiply
    7,642.59x = 11,441.16 × 6,840.77
  4. Step 4: Simplify right side
    7,642.59x = 78,266,286.89
  5. Step 5: Solve for x
    x = 78,266,286.89/7,642.59
  6. Step 6: Final answer
    x = 10,240.81

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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.