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Finding the Fourth Proportional to 3,607.64, 5,409.54 and 2,127.48

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Solution

The fourth proportional to 3,607.64, 5,409.54 and 2,127.48 is: 3,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.64 : 5,409.54 = 2,127.48 : x
  2. Step 2: Convert to fraction form
    3,607.64/5,409.54 = 2,127.48/x
  3. Step 3: Cross multiply
    3,607.64x = 5,409.54 × 2,127.48
  4. Step 4: Simplify right side
    3,607.64x = 11,508,688.16
  5. Step 5: Solve for x
    x = 11,508,688.16/3,607.64
  6. Step 6: Final answer
    x = 3,190.09

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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.