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Finding the Fourth Proportional to 2,986.64, 4,476.64 and 2,253.84

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Solution

The fourth proportional to 2,986.64, 4,476.64 and 2,253.84 is: 3,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.64 : 4,476.64 = 2,253.84 : x
  2. Step 2: Convert to fraction form
    2,986.64/4,476.64 = 2,253.84/x
  3. Step 3: Cross multiply
    2,986.64x = 4,476.64 × 2,253.84
  4. Step 4: Simplify right side
    2,986.64x = 10,089,630.30
  5. Step 5: Solve for x
    x = 10,089,630.30/2,986.64
  6. Step 6: Final answer
    x = 3,378.25

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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.