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Finding the Fourth Proportional to 3,260.31, 4,890.76 and 920.34

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Solution

The fourth proportional to 3,260.31, 4,890.76 and 920.34 is: 1,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.31 : 4,890.76 = 920.34 : x
  2. Step 2: Convert to fraction form
    3,260.31/4,890.76 = 920.34/x
  3. Step 3: Cross multiply
    3,260.31x = 4,890.76 × 920.34
  4. Step 4: Simplify right side
    3,260.31x = 4,501,133.00
  5. Step 5: Solve for x
    x = 4,501,133.00/3,260.31
  6. Step 6: Final answer
    x = 1,380.58

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1.5x scale

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.