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Finding the Fourth Proportional to 7,613, 11,421.42 and 2,141

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Solution

The fourth proportional to 7,613, 11,421.42 and 2,141 is: 3,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613 : 11,421.42 = 2,141 : x
  2. Step 2: Convert to fraction form
    7,613/11,421.42 = 2,141/x
  3. Step 3: Cross multiply
    7,613x = 11,421.42 × 2,141
  4. Step 4: Simplify right side
    7,613x = 24,453,260.22
  5. Step 5: Solve for x
    x = 24,453,260.22/7,613
  6. Step 6: Final answer
    x = 3,212.04

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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.