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Finding the Fourth Proportional to 2,989.53, 4,485.02 and 1,892.61

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Solution

The fourth proportional to 2,989.53, 4,485.02 and 1,892.61 is: 2,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.53 : 4,485.02 = 1,892.61 : x
  2. Step 2: Convert to fraction form
    2,989.53/4,485.02 = 1,892.61/x
  3. Step 3: Cross multiply
    2,989.53x = 4,485.02 × 1,892.61
  4. Step 4: Simplify right side
    2,989.53x = 8,488,384.24
  5. Step 5: Solve for x
    x = 8,488,384.24/2,989.53
  6. Step 6: Final answer
    x = 2,839.37

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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.