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Finding the Fourth Proportional to 2,416.28, 3,622.86 and 772.28

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Solution

The fourth proportional to 2,416.28, 3,622.86 and 772.28 is: 1,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.28 : 3,622.86 = 772.28 : x
  2. Step 2: Convert to fraction form
    2,416.28/3,622.86 = 772.28/x
  3. Step 3: Cross multiply
    2,416.28x = 3,622.86 × 772.28
  4. Step 4: Simplify right side
    2,416.28x = 2,797,862.32
  5. Step 5: Solve for x
    x = 2,797,862.32/2,416.28
  6. Step 6: Final answer
    x = 1,157.92

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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.