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Finding the Fourth Proportional to 1,880.72, 2,807.61 and 1,634.75

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Solution

The fourth proportional to 1,880.72, 2,807.61 and 1,634.75 is: 2,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.72 : 2,807.61 = 1,634.75 : x
  2. Step 2: Convert to fraction form
    1,880.72/2,807.61 = 1,634.75/x
  3. Step 3: Cross multiply
    1,880.72x = 2,807.61 × 1,634.75
  4. Step 4: Simplify right side
    1,880.72x = 4,589,726.41
  5. Step 5: Solve for x
    x = 4,589,726.41/1,880.72
  6. Step 6: Final answer
    x = 2,440.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.