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Finding the Fourth Proportional to 4,498, 6,747 and 1,420

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Solution

The fourth proportional to 4,498, 6,747 and 1,420 is: 2,130

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498 : 6,747 = 1,420 : x
  2. Step 2: Convert to fraction form
    4,498/6,747 = 1,420/x
  3. Step 3: Cross multiply
    4,498x = 6,747 × 1,420
  4. Step 4: Simplify right side
    4,498x = 9,580,740
  5. Step 5: Solve for x
    x = 9,580,740/4,498
  6. Step 6: Final answer
    x = 2,130

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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.