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Finding the Fourth Proportional to 5,103.41, 7,655.74 and 3,788.79

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Solution

The fourth proportional to 5,103.41, 7,655.74 and 3,788.79 is: 5,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.41 : 7,655.74 = 3,788.79 : x
  2. Step 2: Convert to fraction form
    5,103.41/7,655.74 = 3,788.79/x
  3. Step 3: Cross multiply
    5,103.41x = 7,655.74 × 3,788.79
  4. Step 4: Simplify right side
    5,103.41x = 29,005,972.21
  5. Step 5: Solve for x
    x = 29,005,972.21/5,103.41
  6. Step 6: Final answer
    x = 5,683.65

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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.