Home / 7,885-11,827.50-3,207.55

Finding the Fourth Proportional to 7,885, 11,827.50 and 3,207.55

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Solution

The fourth proportional to 7,885, 11,827.50 and 3,207.55 is: 4,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885 : 11,827.50 = 3,207.55 : x
  2. Step 2: Convert to fraction form
    7,885/11,827.50 = 3,207.55/x
  3. Step 3: Cross multiply
    7,885x = 11,827.50 × 3,207.55
  4. Step 4: Simplify right side
    7,885x = 37,937,297.63
  5. Step 5: Solve for x
    x = 37,937,297.63/7,885
  6. Step 6: Final answer
    x = 4,811.33

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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.