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Finding the Fourth Proportional to 2,551.78, 3,825 and 1,730.10

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Solution

The fourth proportional to 2,551.78, 3,825 and 1,730.10 is: 2,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.78 : 3,825 = 1,730.10 : x
  2. Step 2: Convert to fraction form
    2,551.78/3,825 = 1,730.10/x
  3. Step 3: Cross multiply
    2,551.78x = 3,825 × 1,730.10
  4. Step 4: Simplify right side
    2,551.78x = 6,617,632.50
  5. Step 5: Solve for x
    x = 6,617,632.50/2,551.78
  6. Step 6: Final answer
    x = 2,593.34

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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.