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Finding the Fourth Proportional to 12,580.80, 18,879.30 and 7,315.80

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Solution

The fourth proportional to 12,580.80, 18,879.30 and 7,315.80 is: 10,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.80 : 18,879.30 = 7,315.80 : x
  2. Step 2: Convert to fraction form
    12,580.80/18,879.30 = 7,315.80/x
  3. Step 3: Cross multiply
    12,580.80x = 18,879.30 × 7,315.80
  4. Step 4: Simplify right side
    12,580.80x = 138,117,182.94
  5. Step 5: Solve for x
    x = 138,117,182.94/12,580.80
  6. Step 6: Final answer
    x = 10,978.41

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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.