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Finding the Fourth Proportional to 2,323.40, 3,489.96 and 1,958.90

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Solution

The fourth proportional to 2,323.40, 3,489.96 and 1,958.90 is: 2,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.40 : 3,489.96 = 1,958.90 : x
  2. Step 2: Convert to fraction form
    2,323.40/3,489.96 = 1,958.90/x
  3. Step 3: Cross multiply
    2,323.40x = 3,489.96 × 1,958.90
  4. Step 4: Simplify right side
    2,323.40x = 6,836,482.64
  5. Step 5: Solve for x
    x = 6,836,482.64/2,323.40
  6. Step 6: Final answer
    x = 2,942.45

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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.