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Finding the Fourth Proportional to 7,728.89, 11,635.11 and 7,039.98

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Solution

The fourth proportional to 7,728.89, 11,635.11 and 7,039.98 is: 10,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.89 : 11,635.11 = 7,039.98 : x
  2. Step 2: Convert to fraction form
    7,728.89/11,635.11 = 7,039.98/x
  3. Step 3: Cross multiply
    7,728.89x = 11,635.11 × 7,039.98
  4. Step 4: Simplify right side
    7,728.89x = 81,910,941.70
  5. Step 5: Solve for x
    x = 81,910,941.70/7,728.89
  6. Step 6: Final answer
    x = 10,598.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.