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Finding the Fourth Proportional to 3,920.64, 5,879.68 and 1,323.20

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Solution

The fourth proportional to 3,920.64, 5,879.68 and 1,323.20 is: 1,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.64 : 5,879.68 = 1,323.20 : x
  2. Step 2: Convert to fraction form
    3,920.64/5,879.68 = 1,323.20/x
  3. Step 3: Cross multiply
    3,920.64x = 5,879.68 × 1,323.20
  4. Step 4: Simplify right side
    3,920.64x = 7,779,992.58
  5. Step 5: Solve for x
    x = 7,779,992.58/3,920.64
  6. Step 6: Final answer
    x = 1,984.37

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1.5x scale

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.