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Finding the Fourth Proportional to 3,455, 4,767.92 and 1,883.20

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Solution

The fourth proportional to 3,455, 4,767.92 and 1,883.20 is: 2,598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455 : 4,767.92 = 1,883.20 : x
  2. Step 2: Convert to fraction form
    3,455/4,767.92 = 1,883.20/x
  3. Step 3: Cross multiply
    3,455x = 4,767.92 × 1,883.20
  4. Step 4: Simplify right side
    3,455x = 8,978,946.94
  5. Step 5: Solve for x
    x = 8,978,946.94/3,455
  6. Step 6: Final answer
    x = 2,598.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.