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Finding the Fourth Proportional to 7,556.70, 11,311.70 and 7,446

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Solution

The fourth proportional to 7,556.70, 11,311.70 and 7,446 is: 11,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556.70 : 11,311.70 = 7,446 : x
  2. Step 2: Convert to fraction form
    7,556.70/11,311.70 = 7,446/x
  3. Step 3: Cross multiply
    7,556.70x = 11,311.70 × 7,446
  4. Step 4: Simplify right side
    7,556.70x = 84,226,918.20
  5. Step 5: Solve for x
    x = 84,226,918.20/7,556.70
  6. Step 6: Final answer
    x = 11,145.99

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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.