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Finding the Fourth Proportional to 7,610.40, 11,417.94 and 3,610.88

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Solution

The fourth proportional to 7,610.40, 11,417.94 and 3,610.88 is: 5,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.40 : 11,417.94 = 3,610.88 : x
  2. Step 2: Convert to fraction form
    7,610.40/11,417.94 = 3,610.88/x
  3. Step 3: Cross multiply
    7,610.40x = 11,417.94 × 3,610.88
  4. Step 4: Simplify right side
    7,610.40x = 41,228,754.10
  5. Step 5: Solve for x
    x = 41,228,754.10/7,610.40
  6. Step 6: Final answer
    x = 5,417.42

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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.