Home / 11,184-16,778.40-3,788.64

Finding the Fourth Proportional to 11,184, 16,778.40 and 3,788.64

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Solution

The fourth proportional to 11,184, 16,778.40 and 3,788.64 is: 5,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184 : 16,778.40 = 3,788.64 : x
  2. Step 2: Convert to fraction form
    11,184/16,778.40 = 3,788.64/x
  3. Step 3: Cross multiply
    11,184x = 16,778.40 × 3,788.64
  4. Step 4: Simplify right side
    11,184x = 63,567,317.38
  5. Step 5: Solve for x
    x = 63,567,317.38/11,184
  6. Step 6: Final answer
    x = 5,683.77

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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.