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Finding the Fourth Proportional to 3,612.60, 5,411.58 and 1,662.64

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Solution

The fourth proportional to 3,612.60, 5,411.58 and 1,662.64 is: 2,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.60 : 5,411.58 = 1,662.64 : x
  2. Step 2: Convert to fraction form
    3,612.60/5,411.58 = 1,662.64/x
  3. Step 3: Cross multiply
    3,612.60x = 5,411.58 × 1,662.64
  4. Step 4: Simplify right side
    3,612.60x = 8,997,509.37
  5. Step 5: Solve for x
    x = 8,997,509.37/3,612.60
  6. Step 6: Final answer
    x = 2,490.59

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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.