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Finding the Fourth Proportional to 2,135.64, 3,203.51 and 654.90

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Solution

The fourth proportional to 2,135.64, 3,203.51 and 654.90 is: 982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.64 : 3,203.51 = 654.90 : x
  2. Step 2: Convert to fraction form
    2,135.64/3,203.51 = 654.90/x
  3. Step 3: Cross multiply
    2,135.64x = 3,203.51 × 654.90
  4. Step 4: Simplify right side
    2,135.64x = 2,097,978.70
  5. Step 5: Solve for x
    x = 2,097,978.70/2,135.64
  6. Step 6: Final answer
    x = 982.37

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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.