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Finding the Fourth Proportional to 7,703.76, 11,556.12 and 2,635.80

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Solution

The fourth proportional to 7,703.76, 11,556.12 and 2,635.80 is: 3,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.76 : 11,556.12 = 2,635.80 : x
  2. Step 2: Convert to fraction form
    7,703.76/11,556.12 = 2,635.80/x
  3. Step 3: Cross multiply
    7,703.76x = 11,556.12 × 2,635.80
  4. Step 4: Simplify right side
    7,703.76x = 30,459,621.10
  5. Step 5: Solve for x
    x = 30,459,621.10/7,703.76
  6. Step 6: Final answer
    x = 3,953.86

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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.