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Finding the Fourth Proportional to 2,651.60, 3,986.40 and 2,168.16

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Solution

The fourth proportional to 2,651.60, 3,986.40 and 2,168.16 is: 3,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.60 : 3,986.40 = 2,168.16 : x
  2. Step 2: Convert to fraction form
    2,651.60/3,986.40 = 2,168.16/x
  3. Step 3: Cross multiply
    2,651.60x = 3,986.40 × 2,168.16
  4. Step 4: Simplify right side
    2,651.60x = 8,643,153.02
  5. Step 5: Solve for x
    x = 8,643,153.02/2,651.60
  6. Step 6: Final answer
    x = 3,259.60

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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.