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Finding the Fourth Proportional to 12,339.92, 18,511.80 and 4,130

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Solution

The fourth proportional to 12,339.92, 18,511.80 and 4,130 is: 6,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.92 : 18,511.80 = 4,130 : x
  2. Step 2: Convert to fraction form
    12,339.92/18,511.80 = 4,130/x
  3. Step 3: Cross multiply
    12,339.92x = 18,511.80 × 4,130
  4. Step 4: Simplify right side
    12,339.92x = 76,453,734
  5. Step 5: Solve for x
    x = 76,453,734/12,339.92
  6. Step 6: Final answer
    x = 6,195.64

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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.