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Finding the Fourth Proportional to 2,134.80, 3,202.39 and 654.36

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Solution

The fourth proportional to 2,134.80, 3,202.39 and 654.36 is: 981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.80 : 3,202.39 = 654.36 : x
  2. Step 2: Convert to fraction form
    2,134.80/3,202.39 = 654.36/x
  3. Step 3: Cross multiply
    2,134.80x = 3,202.39 × 654.36
  4. Step 4: Simplify right side
    2,134.80x = 2,095,515.92
  5. Step 5: Solve for x
    x = 2,095,515.92/2,134.80
  6. Step 6: Final answer
    x = 981.60

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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.