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Finding the Fourth Proportional to 2,620.80, 3,931.20 and 2,409.60

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Solution

The fourth proportional to 2,620.80, 3,931.20 and 2,409.60 is: 3,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.80 : 3,931.20 = 2,409.60 : x
  2. Step 2: Convert to fraction form
    2,620.80/3,931.20 = 2,409.60/x
  3. Step 3: Cross multiply
    2,620.80x = 3,931.20 × 2,409.60
  4. Step 4: Simplify right side
    2,620.80x = 9,472,619.52
  5. Step 5: Solve for x
    x = 9,472,619.52/2,620.80
  6. Step 6: Final answer
    x = 3,614.40

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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.