Home / 7,827.49-11,742.32-2,281.21

Finding the Fourth Proportional to 7,827.49, 11,742.32 and 2,281.21

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Solution

The fourth proportional to 7,827.49, 11,742.32 and 2,281.21 is: 3,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.49 : 11,742.32 = 2,281.21 : x
  2. Step 2: Convert to fraction form
    7,827.49/11,742.32 = 2,281.21/x
  3. Step 3: Cross multiply
    7,827.49x = 11,742.32 × 2,281.21
  4. Step 4: Simplify right side
    7,827.49x = 26,786,727.37
  5. Step 5: Solve for x
    x = 26,786,727.37/7,827.49
  6. Step 6: Final answer
    x = 3,422.14

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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.