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Finding the Fourth Proportional to 2,002.64, 2,989.14 and 1,879.52

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Solution

The fourth proportional to 2,002.64, 2,989.14 and 1,879.52 is: 2,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.64 : 2,989.14 = 1,879.52 : x
  2. Step 2: Convert to fraction form
    2,002.64/2,989.14 = 1,879.52/x
  3. Step 3: Cross multiply
    2,002.64x = 2,989.14 × 1,879.52
  4. Step 4: Simplify right side
    2,002.64x = 5,618,148.41
  5. Step 5: Solve for x
    x = 5,618,148.41/2,002.64
  6. Step 6: Final answer
    x = 2,805.37

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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.