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Finding the Fourth Proportional to 1,920.40, 2,879.12 and 1,302.48

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Solution

The fourth proportional to 1,920.40, 2,879.12 and 1,302.48 is: 1,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.40 : 2,879.12 = 1,302.48 : x
  2. Step 2: Convert to fraction form
    1,920.40/2,879.12 = 1,302.48/x
  3. Step 3: Cross multiply
    1,920.40x = 2,879.12 × 1,302.48
  4. Step 4: Simplify right side
    1,920.40x = 3,749,996.22
  5. Step 5: Solve for x
    x = 3,749,996.22/1,920.40
  6. Step 6: Final answer
    x = 1,952.72

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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.