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Finding the Fourth Proportional to 6,280, 9,420 and 1,663

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Solution

The fourth proportional to 6,280, 9,420 and 1,663 is: 2,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280 : 9,420 = 1,663 : x
  2. Step 2: Convert to fraction form
    6,280/9,420 = 1,663/x
  3. Step 3: Cross multiply
    6,280x = 9,420 × 1,663
  4. Step 4: Simplify right side
    6,280x = 15,665,460
  5. Step 5: Solve for x
    x = 15,665,460/6,280
  6. Step 6: Final answer
    x = 2,494.50

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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.