Home / 7,827.58-11,742.45-3,209.50

Finding the Fourth Proportional to 7,827.58, 11,742.45 and 3,209.50

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Solution

The fourth proportional to 7,827.58, 11,742.45 and 3,209.50 is: 4,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.58 : 11,742.45 = 3,209.50 : x
  2. Step 2: Convert to fraction form
    7,827.58/11,742.45 = 3,209.50/x
  3. Step 3: Cross multiply
    7,827.58x = 11,742.45 × 3,209.50
  4. Step 4: Simplify right side
    7,827.58x = 37,687,393.28
  5. Step 5: Solve for x
    x = 37,687,393.28/7,827.58
  6. Step 6: Final answer
    x = 4,814.69

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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.