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Finding the Fourth Proportional to 7,742, 11,613 and 2,270

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Solution

The fourth proportional to 7,742, 11,613 and 2,270 is: 3,405

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742 : 11,613 = 2,270 : x
  2. Step 2: Convert to fraction form
    7,742/11,613 = 2,270/x
  3. Step 3: Cross multiply
    7,742x = 11,613 × 2,270
  4. Step 4: Simplify right side
    7,742x = 26,361,510
  5. Step 5: Solve for x
    x = 26,361,510/7,742
  6. Step 6: Final answer
    x = 3,405

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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.