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Finding the Fourth Proportional to 12,240, 18,352.80 and 6,683.76

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Solution

The fourth proportional to 12,240, 18,352.80 and 6,683.76 is: 10,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,240 : 18,352.80 = 6,683.76 : x
  2. Step 2: Convert to fraction form
    12,240/18,352.80 = 6,683.76/x
  3. Step 3: Cross multiply
    12,240x = 18,352.80 × 6,683.76
  4. Step 4: Simplify right side
    12,240x = 122,665,710.53
  5. Step 5: Solve for x
    x = 122,665,710.53/12,240
  6. Step 6: Final answer
    x = 10,021.71

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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.