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Finding the Fourth Proportional to 4,890, 7,335 and 1,427.28

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Solution

The fourth proportional to 4,890, 7,335 and 1,427.28 is: 2,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890 : 7,335 = 1,427.28 : x
  2. Step 2: Convert to fraction form
    4,890/7,335 = 1,427.28/x
  3. Step 3: Cross multiply
    4,890x = 7,335 × 1,427.28
  4. Step 4: Simplify right side
    4,890x = 10,469,098.80
  5. Step 5: Solve for x
    x = 10,469,098.80/4,890
  6. Step 6: Final answer
    x = 2,140.92

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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.