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Finding the Fourth Proportional to 2,418.88, 3,625.92 and 957.12

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Solution

The fourth proportional to 2,418.88, 3,625.92 and 957.12 is: 1,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.88 : 3,625.92 = 957.12 : x
  2. Step 2: Convert to fraction form
    2,418.88/3,625.92 = 957.12/x
  3. Step 3: Cross multiply
    2,418.88x = 3,625.92 × 957.12
  4. Step 4: Simplify right side
    2,418.88x = 3,470,440.55
  5. Step 5: Solve for x
    x = 3,470,440.55/2,418.88
  6. Step 6: Final answer
    x = 1,434.73

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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.