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Finding the Fourth Proportional to 7,681, 11,524.20 and 3,788.14

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Solution

The fourth proportional to 7,681, 11,524.20 and 3,788.14 is: 5,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681 : 11,524.20 = 3,788.14 : x
  2. Step 2: Convert to fraction form
    7,681/11,524.20 = 3,788.14/x
  3. Step 3: Cross multiply
    7,681x = 11,524.20 × 3,788.14
  4. Step 4: Simplify right side
    7,681x = 43,655,282.99
  5. Step 5: Solve for x
    x = 43,655,282.99/7,681
  6. Step 6: Final answer
    x = 5,683.54

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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.