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Finding the Fourth Proportional to 3,762.43, 5,643.97 and 989.08

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Solution

The fourth proportional to 3,762.43, 5,643.97 and 989.08 is: 1,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.43 : 5,643.97 = 989.08 : x
  2. Step 2: Convert to fraction form
    3,762.43/5,643.97 = 989.08/x
  3. Step 3: Cross multiply
    3,762.43x = 5,643.97 × 989.08
  4. Step 4: Simplify right side
    3,762.43x = 5,582,321.26
  5. Step 5: Solve for x
    x = 5,582,321.26/3,762.43
  6. Step 6: Final answer
    x = 1,483.70

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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.