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Finding the Fourth Proportional to 3,409.64, 5,116 and 1,654.32

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Solution

The fourth proportional to 3,409.64, 5,116 and 1,654.32 is: 2,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.64 : 5,116 = 1,654.32 : x
  2. Step 2: Convert to fraction form
    3,409.64/5,116 = 1,654.32/x
  3. Step 3: Cross multiply
    3,409.64x = 5,116 × 1,654.32
  4. Step 4: Simplify right side
    3,409.64x = 8,463,501.12
  5. Step 5: Solve for x
    x = 8,463,501.12/3,409.64
  6. Step 6: Final answer
    x = 2,482.23

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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.