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Finding the Fourth Proportional to 3,762.44, 5,643.68 and 1,709

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Solution

The fourth proportional to 3,762.44, 5,643.68 and 1,709 is: 2,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.44 : 5,643.68 = 1,709 : x
  2. Step 2: Convert to fraction form
    3,762.44/5,643.68 = 1,709/x
  3. Step 3: Cross multiply
    3,762.44x = 5,643.68 × 1,709
  4. Step 4: Simplify right side
    3,762.44x = 9,645,049.12
  5. Step 5: Solve for x
    x = 9,645,049.12/3,762.44
  6. Step 6: Final answer
    x = 2,563.51

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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.