Home / 3,294-4,546.80-2,365.20

Finding the Fourth Proportional to 3,294, 4,546.80 and 2,365.20

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Solution

The fourth proportional to 3,294, 4,546.80 and 2,365.20 is: 3,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294 : 4,546.80 = 2,365.20 : x
  2. Step 2: Convert to fraction form
    3,294/4,546.80 = 2,365.20/x
  3. Step 3: Cross multiply
    3,294x = 4,546.80 × 2,365.20
  4. Step 4: Simplify right side
    3,294x = 10,754,091.36
  5. Step 5: Solve for x
    x = 10,754,091.36/3,294
  6. Step 6: Final answer
    x = 3,264.75

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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.