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Finding the Fourth Proportional to 3,425, 5,141.20 and 1,697.28

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Solution

The fourth proportional to 3,425, 5,141.20 and 1,697.28 is: 2,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425 : 5,141.20 = 1,697.28 : x
  2. Step 2: Convert to fraction form
    3,425/5,141.20 = 1,697.28/x
  3. Step 3: Cross multiply
    3,425x = 5,141.20 × 1,697.28
  4. Step 4: Simplify right side
    3,425x = 8,726,055.94
  5. Step 5: Solve for x
    x = 8,726,055.94/3,425
  6. Step 6: Final answer
    x = 2,547.75

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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.