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Finding the Fourth Proportional to 7,553.70, 11,330.94 and 7,138.14

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Solution

The fourth proportional to 7,553.70, 11,330.94 and 7,138.14 is: 10,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,553.70 : 11,330.94 = 7,138.14 : x
  2. Step 2: Convert to fraction form
    7,553.70/11,330.94 = 7,138.14/x
  3. Step 3: Cross multiply
    7,553.70x = 11,330.94 × 7,138.14
  4. Step 4: Simplify right side
    7,553.70x = 80,881,836.05
  5. Step 5: Solve for x
    x = 80,881,836.05/7,553.70
  6. Step 6: Final answer
    x = 10,707.58

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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.