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Finding the Fourth Proportional to 4,420, 6,630 and 1,342

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Solution

The fourth proportional to 4,420, 6,630 and 1,342 is: 2,013

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,420 : 6,630 = 1,342 : x
  2. Step 2: Convert to fraction form
    4,420/6,630 = 1,342/x
  3. Step 3: Cross multiply
    4,420x = 6,630 × 1,342
  4. Step 4: Simplify right side
    4,420x = 8,897,460
  5. Step 5: Solve for x
    x = 8,897,460/4,420
  6. Step 6: Final answer
    x = 2,013

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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.