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Finding the Fourth Proportional to 9,260.78, 12,780 and 5,227.80

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Solution

The fourth proportional to 9,260.78, 12,780 and 5,227.80 is: 7,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.78 : 12,780 = 5,227.80 : x
  2. Step 2: Convert to fraction form
    9,260.78/12,780 = 5,227.80/x
  3. Step 3: Cross multiply
    9,260.78x = 12,780 × 5,227.80
  4. Step 4: Simplify right side
    9,260.78x = 66,811,284
  5. Step 5: Solve for x
    x = 66,811,284/9,260.78
  6. Step 6: Final answer
    x = 7,214.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.