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Finding the Fourth Proportional to 1,920.46, 2,879.97 and 1,140.63

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Solution

The fourth proportional to 1,920.46, 2,879.97 and 1,140.63 is: 1,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.46 : 2,879.97 = 1,140.63 : x
  2. Step 2: Convert to fraction form
    1,920.46/2,879.97 = 1,140.63/x
  3. Step 3: Cross multiply
    1,920.46x = 2,879.97 × 1,140.63
  4. Step 4: Simplify right side
    1,920.46x = 3,284,980.18
  5. Step 5: Solve for x
    x = 3,284,980.18/1,920.46
  6. Step 6: Final answer
    x = 1,710.52

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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.