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Finding the Fourth Proportional to 3,425, 5,137.91 and 1,116.50

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Solution

The fourth proportional to 3,425, 5,137.91 and 1,116.50 is: 1,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425 : 5,137.91 = 1,116.50 : x
  2. Step 2: Convert to fraction form
    3,425/5,137.91 = 1,116.50/x
  3. Step 3: Cross multiply
    3,425x = 5,137.91 × 1,116.50
  4. Step 4: Simplify right side
    3,425x = 5,736,470.93
  5. Step 5: Solve for x
    x = 5,736,470.93/3,425
  6. Step 6: Final answer
    x = 1,674.88

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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.