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Finding the Fourth Proportional to 3,642.87, 5,461.06 and 1,694.01

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Solution

The fourth proportional to 3,642.87, 5,461.06 and 1,694.01 is: 2,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.87 : 5,461.06 = 1,694.01 : x
  2. Step 2: Convert to fraction form
    3,642.87/5,461.06 = 1,694.01/x
  3. Step 3: Cross multiply
    3,642.87x = 5,461.06 × 1,694.01
  4. Step 4: Simplify right side
    3,642.87x = 9,251,054.48
  5. Step 5: Solve for x
    x = 9,251,054.48/3,642.87
  6. Step 6: Final answer
    x = 2,539.50

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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.