Home / 7,827.36-11,741.04-3,148.80

Finding the Fourth Proportional to 7,827.36, 11,741.04 and 3,148.80

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Solution

The fourth proportional to 7,827.36, 11,741.04 and 3,148.80 is: 4,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.36 : 11,741.04 = 3,148.80 : x
  2. Step 2: Convert to fraction form
    7,827.36/11,741.04 = 3,148.80/x
  3. Step 3: Cross multiply
    7,827.36x = 11,741.04 × 3,148.80
  4. Step 4: Simplify right side
    7,827.36x = 36,970,186.75
  5. Step 5: Solve for x
    x = 36,970,186.75/7,827.36
  6. Step 6: Final answer
    x = 4,723.20

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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.