Home / 7,742.80-11,615.92-2,548.32

Finding the Fourth Proportional to 7,742.80, 11,615.92 and 2,548.32

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Solution

The fourth proportional to 7,742.80, 11,615.92 and 2,548.32 is: 3,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.80 : 11,615.92 = 2,548.32 : x
  2. Step 2: Convert to fraction form
    7,742.80/11,615.92 = 2,548.32/x
  3. Step 3: Cross multiply
    7,742.80x = 11,615.92 × 2,548.32
  4. Step 4: Simplify right side
    7,742.80x = 29,601,081.25
  5. Step 5: Solve for x
    x = 29,601,081.25/7,742.80
  6. Step 6: Final answer
    x = 3,823.05

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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.