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Finding the Fourth Proportional to 7,456.80, 11,188.80 and 5,260.80

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Solution

The fourth proportional to 7,456.80, 11,188.80 and 5,260.80 is: 7,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.80 : 11,188.80 = 5,260.80 : x
  2. Step 2: Convert to fraction form
    7,456.80/11,188.80 = 5,260.80/x
  3. Step 3: Cross multiply
    7,456.80x = 11,188.80 × 5,260.80
  4. Step 4: Simplify right side
    7,456.80x = 58,862,039.04
  5. Step 5: Solve for x
    x = 58,862,039.04/7,456.80
  6. Step 6: Final answer
    x = 7,893.74

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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.