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Finding the Fourth Proportional to 3,309.96, 4,964.93 and 2,078.23

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Solution

The fourth proportional to 3,309.96, 4,964.93 and 2,078.23 is: 3,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.96 : 4,964.93 = 2,078.23 : x
  2. Step 2: Convert to fraction form
    3,309.96/4,964.93 = 2,078.23/x
  3. Step 3: Cross multiply
    3,309.96x = 4,964.93 × 2,078.23
  4. Step 4: Simplify right side
    3,309.96x = 10,318,288.07
  5. Step 5: Solve for x
    x = 10,318,288.07/3,309.96
  6. Step 6: Final answer
    x = 3,117.35

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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.