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Finding the Fourth Proportional to 3,742, 5,613 and 1,006

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Solution

The fourth proportional to 3,742, 5,613 and 1,006 is: 1,509

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742 : 5,613 = 1,006 : x
  2. Step 2: Convert to fraction form
    3,742/5,613 = 1,006/x
  3. Step 3: Cross multiply
    3,742x = 5,613 × 1,006
  4. Step 4: Simplify right side
    3,742x = 5,646,678
  5. Step 5: Solve for x
    x = 5,646,678/3,742
  6. Step 6: Final answer
    x = 1,509

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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.