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Finding the Fourth Proportional to 2,235.40, 3,349.80 and 1,620.40

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Solution

The fourth proportional to 2,235.40, 3,349.80 and 1,620.40 is: 2,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.40 : 3,349.80 = 1,620.40 : x
  2. Step 2: Convert to fraction form
    2,235.40/3,349.80 = 1,620.40/x
  3. Step 3: Cross multiply
    2,235.40x = 3,349.80 × 1,620.40
  4. Step 4: Simplify right side
    2,235.40x = 5,428,015.92
  5. Step 5: Solve for x
    x = 5,428,015.92/2,235.40
  6. Step 6: Final answer
    x = 2,428.21

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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.