Home / 7,827.69-11,742.12-2,281.11

Finding the Fourth Proportional to 7,827.69, 11,742.12 and 2,281.11

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Solution

The fourth proportional to 7,827.69, 11,742.12 and 2,281.11 is: 3,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.69 : 11,742.12 = 2,281.11 : x
  2. Step 2: Convert to fraction form
    7,827.69/11,742.12 = 2,281.11/x
  3. Step 3: Cross multiply
    7,827.69x = 11,742.12 × 2,281.11
  4. Step 4: Simplify right side
    7,827.69x = 26,785,067.35
  5. Step 5: Solve for x
    x = 26,785,067.35/7,827.69
  6. Step 6: Final answer
    x = 3,421.84

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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.