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Finding the Fourth Proportional to 7,611, 11,416.14 and 2,416.20

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Solution

The fourth proportional to 7,611, 11,416.14 and 2,416.20 is: 3,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611 : 11,416.14 = 2,416.20 : x
  2. Step 2: Convert to fraction form
    7,611/11,416.14 = 2,416.20/x
  3. Step 3: Cross multiply
    7,611x = 11,416.14 × 2,416.20
  4. Step 4: Simplify right side
    7,611x = 27,583,677.47
  5. Step 5: Solve for x
    x = 27,583,677.47/7,611
  6. Step 6: Final answer
    x = 3,624.19

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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.