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Finding the Fourth Proportional to 7,611.91, 11,419.68 and 2,417.79

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Solution

The fourth proportional to 7,611.91, 11,419.68 and 2,417.79 is: 3,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.91 : 11,419.68 = 2,417.79 : x
  2. Step 2: Convert to fraction form
    7,611.91/11,419.68 = 2,417.79/x
  3. Step 3: Cross multiply
    7,611.91x = 11,419.68 × 2,417.79
  4. Step 4: Simplify right side
    7,611.91x = 27,610,388.11
  5. Step 5: Solve for x
    x = 27,610,388.11/7,611.91
  6. Step 6: Final answer
    x = 3,627.26

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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.