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Finding the Fourth Proportional to 3,409.60, 5,114.80 and 1,218.52

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Solution

The fourth proportional to 3,409.60, 5,114.80 and 1,218.52 is: 1,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.60 : 5,114.80 = 1,218.52 : x
  2. Step 2: Convert to fraction form
    3,409.60/5,114.80 = 1,218.52/x
  3. Step 3: Cross multiply
    3,409.60x = 5,114.80 × 1,218.52
  4. Step 4: Simplify right side
    3,409.60x = 6,232,486.10
  5. Step 5: Solve for x
    x = 6,232,486.10/3,409.60
  6. Step 6: Final answer
    x = 1,827.92

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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.