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Finding the Fourth Proportional to 7,519, 11,281.08 and 3,361.87

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Solution

The fourth proportional to 7,519, 11,281.08 and 3,361.87 is: 5,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,519 : 11,281.08 = 3,361.87 : x
  2. Step 2: Convert to fraction form
    7,519/11,281.08 = 3,361.87/x
  3. Step 3: Cross multiply
    7,519x = 11,281.08 × 3,361.87
  4. Step 4: Simplify right side
    7,519x = 37,925,524.42
  5. Step 5: Solve for x
    x = 37,925,524.42/7,519
  6. Step 6: Final answer
    x = 5,043.96

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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.