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Finding the Fourth Proportional to 3,459, 4,770 and 2,264.34

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Solution

The fourth proportional to 3,459, 4,770 and 2,264.34 is: 3,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459 : 4,770 = 2,264.34 : x
  2. Step 2: Convert to fraction form
    3,459/4,770 = 2,264.34/x
  3. Step 3: Cross multiply
    3,459x = 4,770 × 2,264.34
  4. Step 4: Simplify right side
    3,459x = 10,800,901.80
  5. Step 5: Solve for x
    x = 10,800,901.80/3,459
  6. Step 6: Final answer
    x = 3,122.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.