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Finding the Fourth Proportional to 4,478, 6,717 and 1,742

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Solution

The fourth proportional to 4,478, 6,717 and 1,742 is: 2,613

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478 : 6,717 = 1,742 : x
  2. Step 2: Convert to fraction form
    4,478/6,717 = 1,742/x
  3. Step 3: Cross multiply
    4,478x = 6,717 × 1,742
  4. Step 4: Simplify right side
    4,478x = 11,701,014
  5. Step 5: Solve for x
    x = 11,701,014/4,478
  6. Step 6: Final answer
    x = 2,613

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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.