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Finding the Fourth Proportional to 2,409.60, 3,325.12 and 1,361.60

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Solution

The fourth proportional to 2,409.60, 3,325.12 and 1,361.60 is: 1,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.60 : 3,325.12 = 1,361.60 : x
  2. Step 2: Convert to fraction form
    2,409.60/3,325.12 = 1,361.60/x
  3. Step 3: Cross multiply
    2,409.60x = 3,325.12 × 1,361.60
  4. Step 4: Simplify right side
    2,409.60x = 4,527,483.39
  5. Step 5: Solve for x
    x = 4,527,483.39/2,409.60
  6. Step 6: Final answer
    x = 1,878.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.