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Finding the Fourth Proportional to 3,260.00, 4,890.29 and 920.03

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Solution

The fourth proportional to 3,260.00, 4,890.29 and 920.03 is: 1,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.00 : 4,890.29 = 920.03 : x
  2. Step 2: Convert to fraction form
    3,260.00/4,890.29 = 920.03/x
  3. Step 3: Cross multiply
    3,260.00x = 4,890.29 × 920.03
  4. Step 4: Simplify right side
    3,260.00x = 4,499,184.46
  5. Step 5: Solve for x
    x = 4,499,184.46/3,260.00
  6. Step 6: Final answer
    x = 1,380.12

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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.