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Finding the Fourth Proportional to 3,768.64, 5,651.20 and 1,302.64

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Solution

The fourth proportional to 3,768.64, 5,651.20 and 1,302.64 is: 1,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.64 : 5,651.20 = 1,302.64 : x
  2. Step 2: Convert to fraction form
    3,768.64/5,651.20 = 1,302.64/x
  3. Step 3: Cross multiply
    3,768.64x = 5,651.20 × 1,302.64
  4. Step 4: Simplify right side
    3,768.64x = 7,361,479.17
  5. Step 5: Solve for x
    x = 7,361,479.17/3,768.64
  6. Step 6: Final answer
    x = 1,953.35

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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.