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Finding the Fourth Proportional to 7,485.80, 11,232.76 and 2,809

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Solution

The fourth proportional to 7,485.80, 11,232.76 and 2,809 is: 4,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,485.80 : 11,232.76 = 2,809 : x
  2. Step 2: Convert to fraction form
    7,485.80/11,232.76 = 2,809/x
  3. Step 3: Cross multiply
    7,485.80x = 11,232.76 × 2,809
  4. Step 4: Simplify right side
    7,485.80x = 31,552,822.84
  5. Step 5: Solve for x
    x = 31,552,822.84/7,485.80
  6. Step 6: Final answer
    x = 4,215.02

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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.