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Finding the Fourth Proportional to 2,620.96, 3,920.64 and 2,328.64

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Solution

The fourth proportional to 2,620.96, 3,920.64 and 2,328.64 is: 3,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.96 : 3,920.64 = 2,328.64 : x
  2. Step 2: Convert to fraction form
    2,620.96/3,920.64 = 2,328.64/x
  3. Step 3: Cross multiply
    2,620.96x = 3,920.64 × 2,328.64
  4. Step 4: Simplify right side
    2,620.96x = 9,129,759.13
  5. Step 5: Solve for x
    x = 9,129,759.13/2,620.96
  6. Step 6: Final answer
    x = 3,483.36

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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.