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Finding the Fourth Proportional to 7,480.80, 11,225.25 and 2,804.00

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Solution

The fourth proportional to 7,480.80, 11,225.25 and 2,804.00 is: 4,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.80 : 11,225.25 = 2,804.00 : x
  2. Step 2: Convert to fraction form
    7,480.80/11,225.25 = 2,804.00/x
  3. Step 3: Cross multiply
    7,480.80x = 11,225.25 × 2,804.00
  4. Step 4: Simplify right side
    7,480.80x = 31,475,544.87
  5. Step 5: Solve for x
    x = 31,475,544.87/7,480.80
  6. Step 6: Final answer
    x = 4,207.51

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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.