Home / 7,827.21-11,742.65-2,281.14

Finding the Fourth Proportional to 7,827.21, 11,742.65 and 2,281.14

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Solution

The fourth proportional to 7,827.21, 11,742.65 and 2,281.14 is: 3,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.21 : 11,742.65 = 2,281.14 : x
  2. Step 2: Convert to fraction form
    7,827.21/11,742.65 = 2,281.14/x
  3. Step 3: Cross multiply
    7,827.21x = 11,742.65 × 2,281.14
  4. Step 4: Simplify right side
    7,827.21x = 26,786,617.22
  5. Step 5: Solve for x
    x = 26,786,617.22/7,827.21
  6. Step 6: Final answer
    x = 3,422.24

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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.